414900864 has 192 divisors, whose sum is σ = 1424442240. Its totient is φ = 113338368.

The previous prime is 414900809. The next prime is 414900881. The reversal of 414900864 is 468009414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184354 + ... + 186590.

It is an arithmetic number, because the mean of its divisors is an integer number (7418970).

Almost surely, 2^414900864 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 414900864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712221120).

414900864 is an abundant number, since it is smaller than the sum of its proper divisors (1009541376).

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

414900864 is a wasteful number, since it uses less digits than its factorization.

414900864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 414900864 is about 20369.1154447119. The cubic root of 414900864 is about 745.8441935631.

The spelling of 414900864 in words is "four hundred fourteen million, nine hundred thousand, eight hundred sixty-four".