407742624 has 36 divisors (see below), whose sum is σ = 1159518906. Its totient is φ = 135914112.

The previous prime is 407742623. The next prime is 407742631. The reversal of 407742624 is 426247704.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 404010000 + 3732624 = 20100^2 + 1932^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (407742623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 707599 + ... + 708174.

Almost surely, 2^407742624 is an apocalyptic number.

It is an amenable number.

407742624 is an abundant number, since it is smaller than the sum of its proper divisors (751776282).

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

407742624 is a wasteful number, since it uses less digits than its factorization.

407742624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415789 (or 1415778 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 407742624 is about 20192.6378663116. The cubic root of 407742624 is about 741.5299633974.

The spelling of 407742624 in words is "four hundred seven million, seven hundred forty-two thousand, six hundred twenty-four".