359990400 has 384 divisors, whose sum is σ = 1481333760. Its totient is φ = 74649600.

The previous prime is 359990399. The next prime is 359990417. The reversal of 359990400 is 4099953.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738957 + ... + 739443.

It is an arithmetic number, because the mean of its divisors is an integer number (3857640).

Almost surely, 2^359990400 is an apocalyptic number.

359990400 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 359990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740666880).

359990400 is an abundant number, since it is smaller than the sum of its proper divisors (1121343360).

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

359990400 is a wasteful number, since it uses less digits than its factorization.

359990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 359990400 is about 18973.4129771109. The cubic root of 359990400 is about 711.3723374759.

The spelling of 359990400 in words is "three hundred fifty-nine million, nine hundred ninety thousand, four hundred".