407352816 has 120 divisors (see below), whose sum is σ = 1281230496. Its totient is φ = 119877120.

The previous prime is 407352797. The next prime is 407352817. The reversal of 407352816 is 618253704.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407352817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38326 + ... + 47786.

Almost surely, 2^407352816 is an apocalyptic number.

407352816 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 407352816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640615248).

407352816 is an abundant number, since it is smaller than the sum of its proper divisors (873877680).

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

407352816 is a wasteful number, since it uses less digits than its factorization.

407352816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9511 (or 9502 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 407352816 is about 20182.9833275460. The cubic root of 407352816 is about 741.2935835038.

The spelling of 407352816 in words is "four hundred seven million, three hundred fifty-two thousand, eight hundred sixteen".