461112480 has 96 divisors (see below), whose sum is σ = 1613908800. Its totient is φ = 122962176.

The previous prime is 461112473. The next prime is 461112503. The reversal of 461112480 is 84211164.

It is a happy number.

461112480 is a `hidden beast` number, since 4 + 611 + 1 + 2 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49050 + ... + 57689.

It is an arithmetic number, because the mean of its divisors is an integer number (16811550).

Almost surely, 2^461112480 is an apocalyptic number.

461112480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461112480 is an abundant number, since it is smaller than the sum of its proper divisors (1152796320).

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

461112480 is a wasteful number, since it uses less digits than its factorization.

461112480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106763 (or 106749 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 461112480 is about 21473.5297517665. The cubic root of 461112480 is about 772.5660608979.

The spelling of 461112480 in words is "four hundred sixty-one million, one hundred twelve thousand, four hundred eighty".