465513440 has 96 divisors (see below), whose sum is σ = 1263112704. Its totient is φ = 158814720.

The previous prime is 465513421. The next prime is 465513463. The reversal of 465513440 is 44315564.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 465513397 and 465513406.

It is a congruent number.

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, 253325 + ... + 255155.

It is an arithmetic number, because the mean of its divisors is an integer number (13157424).

Almost surely, 2^465513440 is an apocalyptic number.

465513440 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 465513440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631556352).

465513440 is an abundant number, since it is smaller than the sum of its proper divisors (797599264).

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

465513440 is a wasteful number, since it uses less digits than its factorization.

465513440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 465513440 is about 21575.7604732719. The cubic root of 465513440 is about 775.0161300840.

The spelling of 465513440 in words is "four hundred sixty-five million, five hundred thirteen thousand, four hundred forty".