464441047646400 has 6720 divisors, whose sum is σ = 2102071058841600. Its totient is φ = 99325771776000.

The previous prime is 464441047646393. The next prime is 464441047646473. The reversal of 464441047646400 is 4646740144464.

464441047646400 is a `hidden beast` number, since 4 + 6 + 4 + 4 + 4 + 104 + 76 + 464 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 3657016123137 + ... + 3657016123263.

It is an arithmetic number, because the mean of its divisors is an integer number (312808193280).

Almost surely, 2^{464441047646400} is an apocalyptic number.

464441047646400 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 464441047646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051035529420800).

464441047646400 is an abundant number, since it is smaller than the sum of its proper divisors (1637630011195200).

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

464441047646400 is a wasteful number, since it uses less digits than its factorization.

464441047646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 54.

The spelling of 464441047646400 in words is "four hundred sixty-four trillion, four hundred forty-one billion, forty-seven million, six hundred forty-six thousand, four hundred".