465007760 has 80 divisors (see below), whose sum is σ = 1239670656. Its totient is φ = 158905344.

The previous prime is 465007727. The next prime is 465007789. The reversal of 465007760 is 67700564.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 465007760.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193124 + ... + 195516.

Almost surely, 2^465007760 is an apocalyptic number.

465007760 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 465007760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619835328).

465007760 is an abundant number, since it is smaller than the sum of its proper divisors (774662896).

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

465007760 is a wasteful number, since it uses less digits than its factorization.

465007760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 465007760 is about 21564.0385827887. The cubic root of 465007760 is about 774.7353990908.

The spelling of 465007760 in words is "four hundred sixty-five million, seven thousand, seven hundred sixty".