462453840 has 160 divisors (see below), whose sum is σ = 1600076160. Its totient is φ = 122766336.

The previous prime is 462453809. The next prime is 462453853. The reversal of 462453840 is 48354264.

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

It is a junction number, because it is equal to n+sod(n) for n = 462453795 and 462453804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749212 + ... + 749828.

It is an arithmetic number, because the mean of its divisors is an integer number (10000476).

Almost surely, 2^462453840 is an apocalyptic number.

462453840 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 462453840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800038080).

462453840 is an abundant number, since it is smaller than the sum of its proper divisors (1137622320).

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

462453840 is a wasteful number, since it uses less digits than its factorization.

462453840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 462453840 is about 21504.7399426266. The cubic root of 462453840 is about 773.3144581864.

The spelling of 462453840 in words is "four hundred sixty-two million, four hundred fifty-three thousand, eight hundred forty".