354650400 has 360 divisors, whose sum is σ = 1396137204. Its totient is φ = 87091200.

The previous prime is 354650389. The next prime is 354650411. The reversal of 354650400 is 4056453.

354650400 is a `hidden beast` number, since 3 + 5 + 4 + 650 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (354650389) and next prime (354650411).

It can be written as a sum of positive squares in 6 ways, for example, as 2862864 + 351787536 = 1692^2 + 18756^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 842190 + ... + 842610.

Almost surely, 2^354650400 is an apocalyptic number.

354650400 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 354650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698068602).

354650400 is an abundant number, since it is smaller than the sum of its proper divisors (1041486804).

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

354650400 is a wasteful number, since it uses less digits than its factorization.

354650400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 354650400 is about 18832.1639754968. The cubic root of 354650400 is about 707.8373656893.

The spelling of 354650400 in words is "three hundred fifty-four million, six hundred fifty thousand, four hundred".