465507840 has 240 divisors, whose sum is σ = 1732536432. Its totient is φ = 106315776.

The previous prime is 465507839. The next prime is 465507853. The reversal of 465507840 is 48705564.

It is a tau number, because it is divible by the number of its divisors (240).

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, 375702 + ... + 376938.

Almost surely, 2^465507840 is an apocalyptic number.

465507840 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 465507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866268216).

465507840 is an abundant number, since it is smaller than the sum of its proper divisors (1267028592).

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

465507840 is a wasteful number, since it uses less digits than its factorization.

465507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 465507840 is about 21575.6306976181. The cubic root of 465507840 is about 775.0130223271.

The spelling of 465507840 in words is "four hundred sixty-five million, five hundred seven thousand, eight hundred forty".