465048894240 has 384 divisors, whose sum is σ = 1898164800000. Its totient is φ = 106296551424.

The previous prime is 465048894227. The next prime is 465048894241. The reversal of 465048894240 is 42498840564.

It is a happy number.

465048894240 is a `hidden beast` number, since 4 + 6 + 50 + 488 + 94 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (465048894241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1324836 + ... + 1638684.

It is an arithmetic number, because the mean of its divisors is an integer number (4943137500).

Almost surely, 2^465048894240 is an apocalyptic number.

465048894240 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 465048894240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949082400000).

465048894240 is an abundant number, since it is smaller than the sum of its proper divisors (1433115905760).

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

465048894240 is a wasteful number, since it uses less digits than its factorization.

465048894240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313894 (or 313866 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 465048894240 in words is "four hundred sixty-five billion, forty-eight million, eight hundred ninety-four thousand, two hundred forty".