462147840 has 432 divisors, whose sum is σ = 1997364096. Its totient is φ = 95846400.

The previous prime is 462147823. The next prime is 462147883. The reversal of 462147840 is 48741264.

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 = 462147795 and 462147804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 886780 + ... + 887300.

It is an arithmetic number, because the mean of its divisors is an integer number (4623528).

Almost surely, 2^462147840 is an apocalyptic number.

462147840 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 462147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998682048).

462147840 is an abundant number, since it is smaller than the sum of its proper divisors (1535216256).

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

462147840 is a wasteful number, since it uses less digits than its factorization.

462147840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 462147840 is about 21497.6240547647. The cubic root of 462147840 is about 773.1438563407.

The spelling of 462147840 in words is "four hundred sixty-two million, one hundred forty-seven thousand, eight hundred forty".