465289640 has 32 divisors (see below), whose sum is σ = 1047823560. Its totient is φ = 185952000.

The previous prime is 465289637. The next prime is 465289667. The reversal of 465289640 is 46982564.

It can be written as a sum of positive squares in 4 ways, for example, as 246427204 + 218862436 = 15698^2 + 14794^2 .

It is a junction number, because it is equal to n+sod(n) for n = 465289591 and 465289600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47570 + ... + 56510.

Almost surely, 2^465289640 is an apocalyptic number.

465289640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465289640 is an abundant number, since it is smaller than the sum of its proper divisors (582533920).

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

465289640 is a wasteful number, since it uses less digits than its factorization.

465289640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10253 (or 10249 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 465289640 is about 21570.5734740642. The cubic root of 465289640 is about 774.8919113912.

The spelling of 465289640 in words is "four hundred sixty-five million, two hundred eighty-nine thousand, six hundred forty".