464162040 has 96 divisors (see below), whose sum is σ = 1549342080. Its totient is φ = 120427776.

The previous prime is 464162021. The next prime is 464162053. The reversal of 464162040 is 40261464.

464162040 is a `hidden beast` number, since 46 + 416 + 204 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 464161995 and 464162013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4104 + ... + 30743.

It is an arithmetic number, because the mean of its divisors is an integer number (16138980).

Almost surely, 2^464162040 is an apocalyptic number.

464162040 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 464162040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774671040).

464162040 is an abundant number, since it is smaller than the sum of its proper divisors (1085180040).

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

464162040 is a wasteful number, since it uses less digits than its factorization.

464162040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34901 (or 34894 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 464162040 is about 21544.4201592895. The cubic root of 464162040 is about 774.2654378741.

The spelling of 464162040 in words is "four hundred sixty-four million, one hundred sixty-two thousand, forty".