468084624 has 80 divisors (see below), whose sum is σ = 1426575360. Its totient is φ = 129421440.

The previous prime is 468084623. The next prime is 468084671. The reversal of 468084624 is 426480864.

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

It is not an unprimeable number, because it can be changed into a prime (468084623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12054 + ... + 32885.

It is an arithmetic number, because the mean of its divisors is an integer number (17832192).

Almost surely, 2^468084624 is an apocalyptic number.

It is an amenable number.

468084624 is an abundant number, since it is smaller than the sum of its proper divisors (958490736).

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

468084624 is a wasteful number, since it uses less digits than its factorization.

468084624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44988 (or 44982 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 468084624 is about 21635.2634372683. The cubic root of 468084624 is about 776.4404008088.

The spelling of 468084624 in words is "four hundred sixty-eight million, eighty-four thousand, six hundred twenty-four".