357420 has 96 divisors (see below), whose sum is σ = 1225728. Its totient is φ = 76032.

The previous prime is 357389. The next prime is 357421. The reversal of 357420 is 24753.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (357421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9642 + ... + 9678.

It is an arithmetic number, because the mean of its divisors is an integer number (12768).

2³⁵⁷⁴²⁰ is an apocalyptic number.

357420 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 357420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612864).

357420 is an abundant number, since it is smaller than the sum of its proper divisors (868308).

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

357420 is a wasteful number, since it uses less digits than its factorization.

357420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 357420 is about 597.8461340512. The cubic root of 357420 is about 70.9675180389.

357420 divided by its sum of digits (21) gives a triangular number (17020 = T₁₈₄).

It can be divided in two parts, 357 and 420, that added together give a palindrome (777).

The spelling of 357420 in words is "three hundred fifty-seven thousand, four hundred twenty".