464374400 has 96 divisors (see below), whose sum is σ = 1311091680. Its totient is φ = 159206400.

The previous prime is 464374399. The next prime is 464374409. The reversal of 464374400 is 4473464.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (464374409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12035 + ... + 32765.

It is an arithmetic number, because the mean of its divisors is an integer number (13657205).

Almost surely, 2^464374400 is an apocalyptic number.

464374400 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 464374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655545840).

464374400 is an abundant number, since it is smaller than the sum of its proper divisors (846717280).

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

464374400 is a wasteful number, since it uses less digits than its factorization.

464374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20762 (or 20745 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 32.

The square root of 464374400 is about 21549.3480179796. The cubic root of 464374400 is about 774.3834986125.

The spelling of 464374400 in words is "four hundred sixty-four million, three hundred seventy-four thousand, four hundred".