462477060 has 192 divisors, whose sum is σ = 1501516800. Its totient is φ = 118070784.

The previous prime is 462477011. The next prime is 462477091. The reversal of 462477060 is 60774264.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1578274 + ... + 1578566.

It is an arithmetic number, because the mean of its divisors is an integer number (7820400).

Almost surely, 2^462477060 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 462477060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750758400).

462477060 is an abundant number, since it is smaller than the sum of its proper divisors (1039039740).

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

462477060 is a wasteful number, since it uses less digits than its factorization.

462477060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 462477060 is about 21505.2798168264. The cubic root of 462477060 is about 773.3274007835.

The spelling of 462477060 in words is "four hundred sixty-two million, four hundred seventy-seven thousand, sixty".