407272320 has 768 divisors, whose sum is σ = 1855828800. Its totient is φ = 83607552.

The previous prime is 407272303. The next prime is 407272321. The reversal of 407272320 is 23272704.

407272320 is a `hidden beast` number, since 407 + 27 + 232 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407272321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11007342 + ... + 11007378.

Almost surely, 2^407272320 is an apocalyptic number.

407272320 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 407272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927914400).

407272320 is an abundant number, since it is smaller than the sum of its proper divisors (1448556480).

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

407272320 is a wasteful number, since it uses less digits than its factorization.

407272320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 407272320 is about 20180.9890738784. The cubic root of 407272320 is about 741.2447518793.

The spelling of 407272320 in words is "four hundred seven million, two hundred seventy-two thousand, three hundred twenty".