354960900 has 216 divisors, whose sum is σ = 1327935840. Its totient is φ = 81103680.

The previous prime is 354960889. The next prime is 354960917. The reversal of 354960900 is 9069453.

354960900 is a `hidden beast` number, since 3 + 5 + 49 + 609 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 130959 + ... + 133641.

Almost surely, 2^354960900 is an apocalyptic number.

354960900 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 354960900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663967920).

354960900 is an abundant number, since it is smaller than the sum of its proper divisors (972974940).

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

354960900 is a wasteful number, since it uses less digits than its factorization.

354960900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 354960900 is about 18840.4060465798. The cubic root of 354960900 is about 708.0438783492.

The spelling of 354960900 in words is "three hundred fifty-four million, nine hundred sixty thousand, nine hundred".