465037440 has 192 divisors, whose sum is σ = 1724664960. Its totient is φ = 106272768.

The previous prime is 465037409. The next prime is 465037453. The reversal of 465037440 is 44730564.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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, 91609 + ... + 96551.

It is an arithmetic number, because the mean of its divisors is an integer number (8982630).

Almost surely, 2^465037440 is an apocalyptic number.

465037440 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 465037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862332480).

465037440 is an abundant number, since it is smaller than the sum of its proper divisors (1259627520).

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

465037440 is a wasteful number, since it uses less digits than its factorization.

465037440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4979 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 465037440 is about 21564.7267545870. The cubic root of 465037440 is about 774.7518817243.

The spelling of 465037440 in words is "four hundred sixty-five million, thirty-seven thousand, four hundred forty".