465078640 has 80 divisors (see below), whose sum is σ = 1183736736. Its totient is φ = 168883200.

The previous prime is 465078629. The next prime is 465078659. The reversal of 465078640 is 46870564.

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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 465078593 and 465078602.

It is a congruent number.

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, 59775 + ... + 67105.

Almost surely, 2^465078640 is an apocalyptic number.

465078640 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 465078640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591868368).

465078640 is an abundant number, since it is smaller than the sum of its proper divisors (718658096).

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

465078640 is a wasteful number, since it uses less digits than its factorization.

465078640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7418 (or 7412 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 465078640 is about 21565.6819970990. The cubic root of 465078640 is about 774.7747607675.

The spelling of 465078640 in words is "four hundred sixty-five million, seventy-eight thousand, six hundred forty".