468953680 has 40 divisors (see below), whose sum is σ = 1174190472. Its totient is φ = 173151744.

The previous prime is 468953671. The next prime is 468953711. The reversal of 468953680 is 86359864.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 100160064 + 368793616 = 10008^2 + 19204^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224419 + ... + 226498.

Almost surely, 2^468953680 is an apocalyptic number.

468953680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468953680 is an abundant number, since it is smaller than the sum of its proper divisors (705236792).

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

468953680 is a wasteful number, since it uses less digits than its factorization.

468953680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450943 (or 450937 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The square root of 468953680 is about 21655.3383718657. The cubic root of 468953680 is about 776.9206223948.

The spelling of 468953680 in words is "four hundred sixty-eight million, nine hundred fifty-three thousand, six hundred eighty".