351366400 has 432 divisors, whose sum is σ = 1167925248. Its totient is φ = 101376000.

The previous prime is 351366397. The next prime is 351366401. The reversal of 351366400 is 4663153.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351366401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11334385 + ... + 11334415.

Almost surely, 2^351366400 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 351366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583962624).

351366400 is an abundant number, since it is smaller than the sum of its proper divisors (816558848).

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

351366400 is a wasteful number, since it uses less digits than its factorization.

351366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 351366400 is about 18744.7699372385. The cubic root of 351366400 is about 705.6457708254.

The spelling of 351366400 in words is "three hundred fifty-one million, three hundred sixty-six thousand, four hundred".