354820400 has 90 divisors (see below), whose sum is σ = 937124916. Its totient is φ = 129008000.

The previous prime is 354820399. The next prime is 354820457. The reversal of 354820400 is 4028453.

It is a self number, because there is not a number n which added to its sum of digits gives 354820400.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44735 + ... + 52065.

Almost surely, 2^354820400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354820400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468562458).

354820400 is an abundant number, since it is smaller than the sum of its proper divisors (582304516).

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

354820400 is a wasteful number, since it uses less digits than its factorization.

354820400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7371 (or 7349 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 354820400 is about 18836.6769893206. The cubic root of 354820400 is about 707.9504471261.

Adding to 354820400 its reverse (4028453), we get a palindrome (358848853).

The spelling of 354820400 in words is "three hundred fifty-four million, eight hundred twenty thousand, four hundred".