407796816 has 320 divisors, whose sum is σ = 1371340800. Its totient is φ = 103864320.

The previous prime is 407796757. The next prime is 407796839. The reversal of 407796816 is 618697704.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8676505 + ... + 8676551.

It is an arithmetic number, because the mean of its divisors is an integer number (4285440).

Almost surely, 2^407796816 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 407796816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685670400).

407796816 is an abundant number, since it is smaller than the sum of its proper divisors (963543984).

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

407796816 is a wasteful number, since it uses less digits than its factorization.

407796816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 407796816 is about 20193.9796969295. The cubic root of 407796816 is about 741.5628135413.

The spelling of 407796816 in words is "four hundred seven million, seven hundred ninety-six thousand, eight hundred sixteen".