354740400 has 270 divisors, whose sum is σ = 1432747212. Its totient is φ = 81043200.

The previous prime is 354740389. The next prime is 354740413. The reversal of 354740400 is 4047453.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 175395 + ... + 177405.

Almost surely, 2^354740400 is an apocalyptic number.

354740400 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 354740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716373606).

354740400 is an abundant number, since it is smaller than the sum of its proper divisors (1078006812).

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

354740400 is a wasteful number, since it uses less digits than its factorization.

354740400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 354740400 is about 18834.5533528141. The cubic root of 354740400 is about 707.8972368327.

Adding to 354740400 its reverse (4047453), we get a palindrome (358787853).

The spelling of 354740400 in words is "three hundred fifty-four million, seven hundred forty thousand, four hundred".