351042400 has 72 divisors (see below), whose sum is σ = 868866264. Its totient is φ = 138470400.

The previous prime is 351042397. The next prime is 351042409. The reversal of 351042400 is 4240153.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351042409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55395 + ... + 61405.

It is an arithmetic number, because the mean of its divisors is an integer number (12067587).

Almost surely, 2^351042400 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 351042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434433132).

351042400 is an abundant number, since it is smaller than the sum of its proper divisors (517823864).

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

351042400 is a wasteful number, since it uses less digits than its factorization.

351042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6104 (or 6091 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 351042400 is about 18736.1255333113. The cubic root of 351042400 is about 705.4288087597.

Adding to 351042400 its reverse (4240153), we get a palindrome (355282553).

The spelling of 351042400 in words is "three hundred fifty-one million, forty-two thousand, four hundred".