820457424 has 80 divisors (see below), whose sum is σ = 2384192640. Its totient is φ = 273474144.

The previous prime is 820457413. The next prime is 820457453. The reversal of 820457424 is 424754028.

820457424 is a `hidden beast` number, since 82 + 0 + 4 + 574 + 2 + 4 = 666.

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 15 ways as a sum of consecutive naturals, for example, 23269 + ... + 46715.

It is an arithmetic number, because the mean of its divisors is an integer number (29802408).

Almost surely, 2^820457424 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 820457424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192096320).

820457424 is an abundant number, since it is smaller than the sum of its proper divisors (1563735216).

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

820457424 is an equidigital number, since it uses as much as digits as its factorization.

820457424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23476 (or 23452 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 820457424 is about 28643.6279825025. The cubic root of 820457424 is about 936.1641723863.

The spelling of 820457424 in words is "eight hundred twenty million, four hundred fifty-seven thousand, four hundred twenty-four".