356457420 has 144 divisors (see below), whose sum is σ = 1197600768. Its totient is φ = 85092480.

The previous prime is 356457407. The next prime is 356457433. The reversal of 356457420 is 24754653.

356457420 is a `hidden beast` number, since 3 + 5 + 64 + 574 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (356457407) and next prime (356457433).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131317 + ... + 134003.

It is an arithmetic number, because the mean of its divisors is an integer number (8316672).

Almost surely, 2^356457420 is an apocalyptic number.

356457420 is a gapful number since it is divisible by the number (30) 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 356457420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598800384).

356457420 is an abundant number, since it is smaller than the sum of its proper divisors (841143348).

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

356457420 is a wasteful number, since it uses less digits than its factorization.

356457420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 356457420 is about 18880.0799786442. The cubic root of 356457420 is about 709.0375241323.

The spelling of 356457420 in words is "three hundred fifty-six million, four hundred fifty-seven thousand, four hundred twenty".