351006400 has 84 divisors (see below), whose sum is σ = 867399840. Its totient is φ = 139801600.

The previous prime is 351006389. The next prime is 351006413. The reversal of 351006400 is 4600153.

351006400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 689346 + ... + 689854.

Almost surely, 2^351006400 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 351006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433699920).

351006400 is an abundant number, since it is smaller than the sum of its proper divisors (516393440).

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

351006400 is a wasteful number, since it uses less digits than its factorization.

351006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 351006400 is about 18735.1647977807. The cubic root of 351006400 is about 705.4046936241.

Adding to 351006400 its reverse (4600153), we get a palindrome (355606553).

The spelling of 351006400 in words is "three hundred fifty-one million, six thousand, four hundred".