462630480 has 80 divisors (see below), whose sum is σ = 1544484480. Its totient is φ = 113877504.

The previous prime is 462630439. The next prime is 462630491. The reversal of 462630480 is 84036264.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×462630480² = 428053922050060800, which contains 22 as substring.

It is a congruent number.

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, 71020 + ... + 77259.

It is an arithmetic number, because the mean of its divisors is an integer number (19306056).

Almost surely, 2^462630480 is an apocalyptic number.

462630480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462630480 is an abundant number, since it is smaller than the sum of its proper divisors (1081854000).

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

462630480 is a wasteful number, since it uses less digits than its factorization.

462630480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148308 (or 148302 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 462630480 is about 21508.8465520585. The cubic root of 462630480 is about 773.4129046806.

The spelling of 462630480 in words is "four hundred sixty-two million, six hundred thirty thousand, four hundred eighty".