342456400 has 120 divisors (see below), whose sum is σ = 966750624. Its totient is φ = 114931200.

The previous prime is 342456383. The next prime is 342456409. The reversal of 342456400 is 4654243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342456409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54207 + ... + 60193.

Almost surely, 2^342456400 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 342456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483375312).

342456400 is an abundant number, since it is smaller than the sum of its proper divisors (624294224).

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

342456400 is a wasteful number, since it uses less digits than its factorization.

342456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6029 (or 6018 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 342456400 is about 18505.5775375966. The cubic root of 342456400 is about 699.6300085537.

The spelling of 342456400 in words is "three hundred forty-two million, four hundred fifty-six thousand, four hundred".