397883408400 has 135 divisors (see below), whose sum is σ = 1380897301719. Its totient is φ = 106092149760.

The previous prime is 397883408393. The next prime is 397883408407. The reversal of 397883408400 is 4804388793.

The square root of 397883408400 is 630780.

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

It is an interprime number because it is at equal distance from previous prime (397883408393) and next prime (397883408407).

It can be written as a sum of positive squares in 4 ways, for example, as 249356414736 + 148526993664 = 499356^2 + 385392^2 .

It is a super-2 number, since 2×397883408400² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (397883408407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37841544 + ... + 37852056.

Almost surely, 2^397883408400 is an apocalyptic number.

397883408400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

397883408400 is the 630780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397883408400

397883408400 is an abundant number, since it is smaller than the sum of its proper divisors (983013893319).

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

397883408400 is an equidigital number, since it uses as much as digits as its factorization.

397883408400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21050 (or 10523 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 397883408400 in words is "three hundred ninety-seven billion, eight hundred eighty-three million, four hundred eight thousand, four hundred".