1125953400 has 288 divisors, whose sum is σ = 4135204080. Its totient is φ = 251750400.

The previous prime is 1125953377. The next prime is 1125953417. The reversal of 1125953400 is 43595211.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 943204 + ... + 944396.

Almost surely, 2^1125953400 is an apocalyptic number.

1125953400 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 1125953400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067602040).

1125953400 is an abundant number, since it is smaller than the sum of its proper divisors (3009250680).

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

1125953400 is a wasteful number, since it uses less digits than its factorization.

1125953400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 1125953400 is about 33555.2291006931. The cubic root of 1125953400 is about 1040.3356288537.

The spelling of 1125953400 in words is "one billion, one hundred twenty-five million, nine hundred fifty-three thousand, four hundred".