462060456 has 256 divisors, whose sum is σ = 1447649280. Its totient is φ = 120960000.

The previous prime is 462060439. The next prime is 462060457. The reversal of 462060456 is 654060264.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (462060457) 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, 4574806 + ... + 4574906.

It is an arithmetic number, because the mean of its divisors is an integer number (5654880).

Almost surely, 2^462060456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462060456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723824640).

462060456 is an abundant number, since it is smaller than the sum of its proper divisors (985588824).

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

462060456 is a wasteful number, since it uses less digits than its factorization.

462060456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 462060456 is about 21495.5915480361. The cubic root of 462060456 is about 773.0951239831.

The spelling of 462060456 in words is "four hundred sixty-two million, sixty thousand, four hundred fifty-six".