464505000 has 160 divisors (see below), whose sum is σ = 1467655200. Its totient is φ = 122464000.

The previous prime is 464504969. The next prime is 464505029. The reversal of 464505000 is 505464.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2594911 + ... + 2595089.

It is an arithmetic number, because the mean of its divisors is an integer number (9172845).

Almost surely, 2^464505000 is an apocalyptic number.

464505000 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 464505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733827600).

464505000 is an abundant number, since it is smaller than the sum of its proper divisors (1003150200).

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

464505000 is a wasteful number, since it uses less digits than its factorization.

464505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 464505000 is about 21552.3780590449. The cubic root of 464505000 is about 774.4560873149.

The spelling of 464505000 in words is "four hundred sixty-four million, five hundred five thousand".