462420072 has 24 divisors (see below), whose sum is σ = 1252387890. Its totient is φ = 154140000.

The previous prime is 462420053. The next prime is 462420139. The reversal of 462420072 is 270024264.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 446307876 + 16112196 = 21126^2 + 4014^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3211179 + ... + 3211322.

Almost surely, 2^462420072 is an apocalyptic number.

It is an amenable number.

462420072 is an abundant number, since it is smaller than the sum of its proper divisors (789967818).

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

462420072 is a wasteful number, since it uses less digits than its factorization.

462420072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6422513 (or 6422506 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 462420072 is about 21503.9547990596. The cubic root of 462420072 is about 773.2956354658.

The spelling of 462420072 in words is "four hundred sixty-two million, four hundred twenty thousand, seventy-two".