462387960 has 64 divisors (see below), whose sum is σ = 1541296800. Its totient is φ = 123303168.

The previous prime is 462387943. The next prime is 462387973. The reversal of 462387960 is 69783264.

It is a super-3 number, since 3×462387960³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212989 + ... + 215148.

Almost surely, 2^462387960 is an apocalyptic number.

462387960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462387960 is an abundant number, since it is smaller than the sum of its proper divisors (1078908840).

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

462387960 is a wasteful number, since it uses less digits than its factorization.

462387960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428157 (or 428147 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 462387960 is about 21503.2081327415. The cubic root of 462387960 is about 773.2777349710.

The spelling of 462387960 in words is "four hundred sixty-two million, three hundred eighty-seven thousand, nine hundred sixty".