407630496 has 192 divisors, whose sum is σ = 1363219200. Its totient is φ = 103735296.

The previous prime is 407630459. The next prime is 407630521. The reversal of 407630496 is 694036704.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 252540 + ... + 254148.

It is an arithmetic number, because the mean of its divisors is an integer number (7100100).

Almost surely, 2^407630496 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 407630496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681609600).

407630496 is an abundant number, since it is smaller than the sum of its proper divisors (955588704).

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

407630496 is a wasteful number, since it uses less digits than its factorization.

407630496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 407630496 is about 20189.8612179480. The cubic root of 407630496 is about 741.4619843263.

The spelling of 407630496 in words is "four hundred seven million, six hundred thirty thousand, four hundred ninety-six".