462274560 has 480 divisors, whose sum is σ = 1887379200. Its totient is φ = 106168320.

The previous prime is 462274507. The next prime is 462274567. The reversal of 462274560 is 65472264.

462274560 is a `hidden beast` number, since 4 + 6 + 22 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462274567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24330231 + ... + 24330249.

It is an arithmetic number, because the mean of its divisors is an integer number (3932040).

Almost surely, 2^462274560 is an apocalyptic number.

462274560 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 462274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943689600).

462274560 is an abundant number, since it is smaller than the sum of its proper divisors (1425104640).

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

462274560 is a wasteful number, since it uses less digits than its factorization.

462274560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 462274560 is about 21500.5711552042. The cubic root of 462274560 is about 773.2145147085.

The spelling of 462274560 in words is "four hundred sixty-two million, two hundred seventy-four thousand, five hundred sixty".