465961920 has 224 divisors, whose sum is σ = 1538264640. Its totient is φ = 119439360.

The previous prime is 465961919. The next prime is 465961927. The reversal of 465961920 is 29169564.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465961927) 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, 4274826 + ... + 4274934.

Almost surely, 2^465961920 is an apocalyptic number.

465961920 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 465961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769132320).

465961920 is an abundant number, since it is smaller than the sum of its proper divisors (1072302720).

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

465961920 is a wasteful number, since it uses less digits than its factorization.

465961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 465961920 is about 21586.1511159354. The cubic root of 465961920 is about 775.2649361287.

It can be divided in two parts, 46596 and 1920, that added together give a triangular number (48516 = T₃₁₁).

The spelling of 465961920 in words is "four hundred sixty-five million, nine hundred sixty-one thousand, nine hundred twenty".