396295430400 has 729 divisors, whose sum is σ = 1474731312327. Its totient is φ = 101528985600.

The previous prime is 396295430353. The next prime is 396295430411. The reversal of 396295430400 is 4034592693.

The square root of 396295430400 is 629520.

It is a perfect power (a square), and thus also a powerful number.

396295430400 is a `hidden beast` number, since 3 + 9 + 62 + 9 + 543 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 182540853504 + 213754576896 = 427248^2 + 462336^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6496646370 + ... + 6496646430.

Almost surely, 2^396295430400 is an apocalyptic number.

396295430400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

396295430400 is the 629520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396295430400

396295430400 is an abundant number, since it is smaller than the sum of its proper divisors (1078435881927).

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

396295430400 is an equidigital number, since it uses as much as digits as its factorization.

396295430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 396295430400 in words is "three hundred ninety-six billion, two hundred ninety-five million, four hundred thirty thousand, four hundred".