462133242 has 32 divisors (see below), whose sum is σ = 1027675200. Its totient is φ = 153937584.

The previous prime is 462133211. The next prime is 462133261. The reversal of 462133242 is 242331264.

462133242 is a `hidden beast` number, since 4 + 621 + 3 + 32 + 4 + 2 = 666.

It is a super-2 number, since 2×462133242² = 427134266722861128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 131484 + ... + 134952.

It is an arithmetic number, because the mean of its divisors is an integer number (32114850).

Almost surely, 2^462133242 is an apocalyptic number.

462133242 is an abundant number, since it is smaller than the sum of its proper divisors (565541958).

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

462133242 is a wasteful number, since it uses less digits than its factorization.

462133242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5947 (or 5941 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 462133242 is about 21497.2845261907. The cubic root of 462133242 is about 773.1357157473.

It can be divided in two parts, 46213 and 3242, that added together give a triangular number (49455 = T₃₁₄).

The spelling of 462133242 in words is "four hundred sixty-two million, one hundred thirty-three thousand, two hundred forty-two".