465428013120 has 672 divisors, whose sum is σ = 1916752844160. Its totient is φ = 106007408640.

The previous prime is 465428013091. The next prime is 465428013131. The reversal of 465428013120 is 21310824564.

It is a happy number.

465428013120 is a `hidden beast` number, since 4 + 6 + 542 + 80 + 1 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129969730 + ... + 129973310.

It is an arithmetic number, because the mean of its divisors is an integer number (2852310780).

Almost surely, 2^465428013120 is an apocalyptic number.

465428013120 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 465428013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958376422080).

465428013120 is an abundant number, since it is smaller than the sum of its proper divisors (1451324831040).

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

465428013120 is a wasteful number, since it uses less digits than its factorization.

465428013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3928 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 465428013120 its reverse (21310824564), we get a palindrome (486738837684).

The spelling of 465428013120 in words is "four hundred sixty-five billion, four hundred twenty-eight million, thirteen thousand, one hundred twenty".