407928235320 has 256 divisors, whose sum is σ = 1392170716800. Its totient is φ = 106214215680.

The previous prime is 407928235283. The next prime is 407928235349. The reversal of 407928235320 is 23532829704.

407928235320 is a `hidden beast` number, since 4 + 0 + 7 + 92 + 8 + 23 + 532 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9002962 + ... + 9048158.

Almost surely, 2^407928235320 is an apocalyptic number.

407928235320 is a gapful number since it is divisible by the number (40) 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 407928235320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696085358400).

407928235320 is an abundant number, since it is smaller than the sum of its proper divisors (984242481480).

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

407928235320 is a wasteful number, since it uses less digits than its factorization.

407928235320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45415 (or 45405 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 407928235320 in words is "four hundred seven billion, nine hundred twenty-eight million, two hundred thirty-five thousand, three hundred twenty".