465142392 has 288 divisors, whose sum is σ = 1571900400. Its totient is φ = 126593280.

The previous prime is 465142361. The next prime is 465142411. The reversal of 465142392 is 293241564.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12571398 + ... + 12571434.

Almost surely, 2^465142392 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 465142392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785950200).

465142392 is an abundant number, since it is smaller than the sum of its proper divisors (1106758008).

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

465142392 is a wasteful number, since it uses less digits than its factorization.

465142392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 66 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 465142392 is about 21567.1600355726. The cubic root of 465142392 is about 774.8101606472.

The spelling of 465142392 in words is "four hundred sixty-five million, one hundred forty-two thousand, three hundred ninety-two".