406740096 has 512 divisors, whose sum is σ = 1551052800. Its totient is φ = 102187008.

The previous prime is 406740091. The next prime is 406740107. The reversal of 406740096 is 690047604.

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

It is a self number, because there is not a number n which added to its sum of digits gives 406740096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406740091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9459051 + ... + 9459093.

It is an arithmetic number, because the mean of its divisors is an integer number (3029400).

Almost surely, 2^406740096 is an apocalyptic number.

406740096 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406740096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775526400).

406740096 is an abundant number, since it is smaller than the sum of its proper divisors (1144312704).

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

406740096 is a wasteful number, since it uses less digits than its factorization.

406740096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 406740096 is about 20167.7984916550. The cubic root of 406740096 is about 740.9217245908.

The spelling of 406740096 in words is "four hundred six million, seven hundred forty thousand, ninety-six".