356400000 has 480 divisors, whose sum is σ = 1446235560. Its totient is φ = 86400000.

The previous prime is 356399999. The next prime is 356400007. The reversal of 356400000 is 4653.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (356400007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32399995 + ... + 32400005.

Almost surely, 2^356400000 is an apocalyptic number.

356400000 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 356400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723117780).

356400000 is an abundant number, since it is smaller than the sum of its proper divisors (1089835560).

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

356400000 is an frugal number, since it uses more digits than its factorization.

356400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 356400000 is about 18878.5592670627. The cubic root of 356400000 is about 708.9994502805. Note that the first 3 decimals are identical.

Adding to 356400000 its reverse (4653), we get a palindrome (356404653).

The spelling of 356400000 in words is "three hundred fifty-six million, four hundred thousand".