1955408400 has 405 divisors, whose sum is σ = 7571769933. Its totient is φ = 466963200.

The previous prime is 1955408383. The next prime is 1955408423. The reversal of 1955408400 is 48045591.

The square root of 1955408400 is 44220.

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

It can be written as a sum of positive squares in only one way, i.e., 703947024 + 1251461376 = 26532^2 + 35376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 29185167 + ... + 29185233.

Almost surely, 2^1955408400 is an apocalyptic number.

1955408400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1955408400 is the 44220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1955408400

1955408400 is an abundant number, since it is smaller than the sum of its proper divisors (5616361533).

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

1955408400 is a wasteful number, since it uses less digits than its factorization.

1955408400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The cubic root of 1955408400 is about 1250.4869356237.

Multiplying 1955408400 by its sum of digits (36), we get a square (70394702400 = 265320²).

1955408400 divided by its sum of digits (36) gives a square (54316900 = 7370²).

The spelling of 1955408400 in words is "one billion, nine hundred fifty-five million, four hundred eight thousand, four hundred".