462427120 has 40 divisors (see below), whose sum is σ = 1095438816. Its totient is φ = 181479168.

The previous prime is 462427109. The next prime is 462427129. The reversal of 462427120 is 21724264.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×462427120² = 427677682622988800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462427129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 50292 + ... + 58771.

Almost surely, 2^462427120 is an apocalyptic number.

462427120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462427120 is an abundant number, since it is smaller than the sum of its proper divisors (633011696).

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

462427120 is a wasteful number, since it uses less digits than its factorization.

462427120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109129 (or 109123 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 462427120 is about 21504.1186752678. The cubic root of 462427120 is about 773.2995641880.

The spelling of 462427120 in words is "four hundred sixty-two million, four hundred twenty-seven thousand, one hundred twenty".