407374968 has 256 divisors, whose sum is σ = 1414103040. Its totient is φ = 94348800.

The previous prime is 407374951. The next prime is 407374969. The reversal of 407374968 is 869473704.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407374969) 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, 744471 + ... + 745017.

It is an arithmetic number, because the mean of its divisors is an integer number (5523840).

Almost surely, 2^407374968 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 407374968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707051520).

407374968 is an abundant number, since it is smaller than the sum of its proper divisors (1006728072).

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

407374968 is a wasteful number, since it uses less digits than its factorization.

407374968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 407374968 is about 20183.5320992140. The cubic root of 407374968 is about 741.3070205352.

The spelling of 407374968 in words is "four hundred seven million, three hundred seventy-four thousand, nine hundred sixty-eight".