1146470400 has 270 divisors, whose sum is σ = 4119991512. Its totient is φ = 304742400.

The previous prime is 1146470341. The next prime is 1146470407. The reversal of 1146470400 is 40746411.

1146470400 is a `hidden beast` number, since 1 + 14 + 647 + 0 + 4 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146470407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3686245 + ... + 3686555.

Almost surely, 2^1146470400 is an apocalyptic number.

1146470400 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 1146470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059995756).

1146470400 is an abundant number, since it is smaller than the sum of its proper divisors (2973521112).

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

1146470400 is an equidigital number, since it uses as much as digits as its factorization.

1146470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1146470400 is about 33859.5688100129. The cubic root of 1146470400 is about 1046.6165923727.

The spelling of 1146470400 in words is "one billion, one hundred forty-six million, four hundred seventy thousand, four hundred".