354900 has 108 divisors (see below), whose sum is σ = 1270752. Its totient is φ = 74880.

The previous prime is 354883. The next prime is 354911. The reversal of 354900 is 9453.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

354900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27294 + ... + 27306.

2³⁵⁴⁹⁰⁰ is an apocalyptic number.

354900 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 354900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635376).

354900 is an abundant number, since it is smaller than the sum of its proper divisors (915852).

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

354900 is a wasteful number, since it uses less digits than its factorization.

354900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 354900 is about 595.7348403443. The cubic root of 354900 is about 70.8003383430.

Multiplying 354900 by its sum of digits (21), we get a square (7452900 = 2730²).

354900 divided by its sum of digits (21) gives a square (16900 = 130²).

The spelling of 354900 in words is "three hundred fifty-four thousand, nine hundred".