407962464 has 384 divisors, whose sum is σ = 1450939392. Its totient is φ = 97320960.

The previous prime is 407962421. The next prime is 407962469. The reversal of 407962464 is 464269704.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407962469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6088959 + ... + 6089025.

It is an arithmetic number, because the mean of its divisors is an integer number (3778488).

Almost surely, 2^407962464 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 407962464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725469696).

407962464 is an abundant number, since it is smaller than the sum of its proper divisors (1042976928).

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

407962464 is a wasteful number, since it uses less digits than its factorization.

407962464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 407962464 is about 20198.0807008983. The cubic root of 407962464 is about 741.6632081198.

The spelling of 407962464 in words is "four hundred seven million, nine hundred sixty-two thousand, four hundred sixty-four".