340416400 has 30 divisors (see below), whose sum is σ = 817851362. Its totient is φ = 136166400.

The previous prime is 340416397. The next prime is 340416431. The reversal of 340416400 is 4614043.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 36820624 + 303595776 = 6068^2 + 17424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 425121 + ... + 425920.

Almost surely, 2^340416400 is an apocalyptic number.

It is an amenable number.

340416400 is an abundant number, since it is smaller than the sum of its proper divisors (477434962).

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

340416400 is a wasteful number, since it uses less digits than its factorization.

340416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851059 (or 851048 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 340416400 is about 18450.3766899215. The cubic root of 340416400 is about 698.2380175836.

The spelling of 340416400 in words is "three hundred forty million, four hundred sixteen thousand, four hundred".