462143040 has 224 divisors, whose sum is σ = 1548481536. Its totient is φ = 116613120.

The previous prime is 462143039. The next prime is 462143051. The reversal of 462143040 is 40341264.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 462143040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1577134 + ... + 1577426.

It is an arithmetic number, because the mean of its divisors is an integer number (6912864).

Almost surely, 2^462143040 is an apocalyptic number.

462143040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774240768).

462143040 is an abundant number, since it is smaller than the sum of its proper divisors (1086338496).

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

462143040 is a wasteful number, since it uses less digits than its factorization.

462143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 462143040 is about 21497.5124142306. The cubic root of 462143040 is about 773.1411796335.

The spelling of 462143040 in words is "four hundred sixty-two million, one hundred forty-three thousand, forty".