464042000 has 80 divisors (see below), whose sum is σ = 1139129472. Its totient is φ = 182793600.

The previous prime is 464041969. The next prime is 464042011. The reversal of 464042000 is 240464.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132269 + ... + 135731.

Almost surely, 2^464042000 is an apocalyptic number.

464042000 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 464042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569564736).

464042000 is an abundant number, since it is smaller than the sum of its proper divisors (675087472).

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

464042000 is a wasteful number, since it uses less digits than its factorization.

464042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3553 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 464042000 is about 21541.6341070031. The cubic root of 464042000 is about 774.1986861592.

Adding to 464042000 its reverse (240464), we get a palindrome (464282464).

The spelling of 464042000 in words is "four hundred sixty-four million, forty-two thousand".