1955048400 has 300 divisors, whose sum is σ = 7110815712. Its totient is φ = 514356480.

The previous prime is 1955048383. The next prime is 1955048423. The reversal of 1955048400 is 48405591.

1955048400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-3 number, since 3×1955048400³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2688837 + ... + 2689563.

Almost surely, 2^1955048400 is an apocalyptic number.

1955048400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1955048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555407856).

1955048400 is an abundant number, since it is smaller than the sum of its proper divisors (5155767312).

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

1955048400 is a wasteful number, since it uses less digits than its factorization.

1955048400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 820 counting only the distinct ones).

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

The square root of 1955048400 is about 44215.9292563212. The cubic root of 1955048400 is about 1250.4101907135.

The spelling of 1955048400 in words is "one billion, nine hundred fifty-five million, forty-eight thousand, four hundred".