464873976000 has 2016 divisors, whose sum is σ = 2143615923072. Its totient is φ = 95374540800.

The previous prime is 464873975999. The next prime is 464873976059. The reversal of 464873976000 is 679378464.

It is a happy number.

464873976000 is a `hidden beast` number, since 464 + 87 + 39 + 76 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×464873976000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1379447832 + ... + 1379448168.

Almost surely, 2^464873976000 is an apocalyptic number.

464873976000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464873976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071807961536).

464873976000 is an abundant number, since it is smaller than the sum of its proper divisors (1678741947072).

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

464873976000 is a wasteful number, since it uses less digits than its factorization.

464873976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 464873976000 in words is "four hundred sixty-four billion, eight hundred seventy-three million, nine hundred seventy-six thousand".