465868440 has 96 divisors (see below), whose sum is σ = 1520953200. Its totient is φ = 123667200.

The previous prime is 465868439. The next prime is 465868471. The reversal of 465868440 is 44868564.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79615 + ... + 85265.

Almost surely, 2^465868440 is an apocalyptic number.

465868440 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 465868440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760476600).

465868440 is an abundant number, since it is smaller than the sum of its proper divisors (1055084760).

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

465868440 is a wasteful number, since it uses less digits than its factorization.

465868440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5897 (or 5890 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 465868440 is about 21583.9857301658. The cubic root of 465868440 is about 775.2130888210.

The spelling of 465868440 in words is "four hundred sixty-five million, eight hundred sixty-eight thousand, four hundred forty".