465865920 has 336 divisors, whose sum is σ = 1804001472. Its totient is φ = 109486080.

The previous prime is 465865859. The next prime is 465865931. The reversal of 465865920 is 29568564.

465865920 is a `hidden beast` number, since 4 + 6 + 58 + 6 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 860850 + ... + 861390.

It is an arithmetic number, because the mean of its divisors is an integer number (5369052).

Almost surely, 2^465865920 is an apocalyptic number.

465865920 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 465865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902000736).

465865920 is an abundant number, since it is smaller than the sum of its proper divisors (1338135552).

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

465865920 is a wasteful number, since it uses less digits than its factorization.

465865920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 465865920 is about 21583.9273534730. The cubic root of 465865920 is about 775.2116910441.

The spelling of 465865920 in words is "four hundred sixty-five million, eight hundred sixty-five thousand, nine hundred twenty".