464376000 has 224 divisors, whose sum is σ = 1673717760. Its totient is φ = 112512000.

The previous prime is 464375971. The next prime is 464376007. The reversal of 464376000 is 673464.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (464376007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263121 + ... + 264879.

Almost surely, 2^464376000 is an apocalyptic number.

464376000 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 464376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836858880).

464376000 is an abundant number, since it is smaller than the sum of its proper divisors (1209341760).

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

464376000 is a wasteful number, since it uses less digits than its factorization.

464376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 464376000 is about 21549.3851420406. The cubic root of 464376000 is about 774.3843879898.

The spelling of 464376000 in words is "four hundred sixty-four million, three hundred seventy-six thousand".