407235864 has 96 divisors (see below), whose sum is σ = 1225249200. Its totient is φ = 112331520.

The previous prime is 407235859. The next prime is 407235869. The reversal of 407235864 is 468532704.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (407235859) and next prime (407235869).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407235869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28134 + ... + 40074.

Almost surely, 2^407235864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407235864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612624600).

407235864 is an abundant number, since it is smaller than the sum of its proper divisors (818013336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

407235864 is a wasteful number, since it uses less digits than its factorization.

407235864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11993 (or 11982 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 407235864 is about 20180.0858273695. The cubic root of 407235864 is about 741.2226343069. Note that the first 3 decimals are identical.

The spelling of 407235864 in words is "four hundred seven million, two hundred thirty-five thousand, eight hundred sixty-four".