465423840 has 192 divisors, whose sum is σ = 1861816320. Its totient is φ = 106375680.

The previous prime is 465423817. The next prime is 465423859. The reversal of 465423840 is 48324564.

465423840 is a `hidden beast` number, since 46 + 542 + 38 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 465423795 and 465423804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22545 + ... + 37935.

It is an arithmetic number, because the mean of its divisors is an integer number (9696960).

Almost surely, 2^465423840 is an apocalyptic number.

465423840 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 465423840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930908160).

465423840 is an abundant number, since it is smaller than the sum of its proper divisors (1396392480).

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

465423840 is a wasteful number, since it uses less digits than its factorization.

465423840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15422 (or 15408 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 465423840 is about 21573.6839691324. The cubic root of 465423840 is about 774.9664029834.

The spelling of 465423840 in words is "four hundred sixty-five million, four hundred twenty-three thousand, eight hundred forty".