462152496 has 120 divisors (see below), whose sum is σ = 1323863184. Its totient is φ = 138101760.

The previous prime is 462152489. The next prime is 462152503. The reversal of 462152496 is 694251264.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (462152489) and next prime (462152503).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 853986 + ... + 854526.

Almost surely, 2^462152496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462152496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661931592).

462152496 is an abundant number, since it is smaller than the sum of its proper divisors (861710688).

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

462152496 is a wasteful number, since it uses less digits than its factorization.

462152496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 596 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 462152496 is about 21497.7323455289. The cubic root of 462152496 is about 773.1464527289.

The spelling of 462152496 in words is "four hundred sixty-two million, one hundred fifty-two thousand, four hundred ninety-six".