465978240 has 576 divisors, whose sum is σ = 2031644160. Its totient is φ = 97542144.

The previous prime is 465978239. The next prime is 465978269. The reversal of 465978240 is 42879564.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3669057 + ... + 3669183.

It is an arithmetic number, because the mean of its divisors is an integer number (3527160).

Almost surely, 2^465978240 is an apocalyptic number.

465978240 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 465978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015822080).

465978240 is an abundant number, since it is smaller than the sum of its proper divisors (1565665920).

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

465978240 is a wasteful number, since it uses less digits than its factorization.

465978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 465978240 is about 21586.5291327717. The cubic root of 465978240 is about 775.2739870658.

The spelling of 465978240 in words is "four hundred sixty-five million, nine hundred seventy-eight thousand, two hundred forty".