464999920 has 320 divisors, whose sum is σ = 1478476800. Its totient is φ = 131604480.

The previous prime is 464999903. The next prime is 464999921. The reversal of 464999920 is 29999464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464999921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3394092 + ... + 3394228.

It is an arithmetic number, because the mean of its divisors is an integer number (4620240).

Almost surely, 2^464999920 is an apocalyptic number.

464999920 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 464999920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739238400).

464999920 is an abundant number, since it is smaller than the sum of its proper divisors (1013476880).

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

464999920 is a wasteful number, since it uses less digits than its factorization.

464999920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 52.

The square root of 464999920 is about 21563.8567978922. The cubic root of 464999920 is about 774.7310450706.

The spelling of 464999920 in words is "four hundred sixty-four million, nine hundred ninety-nine thousand, nine hundred twenty".