407974752 has 48 divisors (see below), whose sum is σ = 1189928880. Its totient is φ = 135991296.

The previous prime is 407974751. The next prime is 407974757. The reversal of 407974752 is 257479704.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 407974698 and 407974707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407974751) 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 7 ways as a sum of consecutive naturals, for example, 235233 + ... + 236960.

It is an arithmetic number, because the mean of its divisors is an integer number (24790185).

Almost surely, 2^407974752 is an apocalyptic number.

It is an amenable number.

407974752 is an abundant number, since it is smaller than the sum of its proper divisors (781954128).

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

407974752 is a wasteful number, since it uses less digits than its factorization.

407974752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472212 (or 472198 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 407974752 is about 20198.3848859259. The cubic root of 407974752 is about 741.6706544470.

The spelling of 407974752 in words is "four hundred seven million, nine hundred seventy-four thousand, seven hundred fifty-two".