1146372480 has 512 divisors, whose sum is σ = 4576780800. Its totient is φ = 268738560.

The previous prime is 1146372433. The next prime is 1146372499. The reversal of 1146372480 is 842736411.

1146372480 is a `hidden beast` number, since 1 + 14 + 637 + 2 + 4 + 8 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 7032879 + ... + 7033041.

It is an arithmetic number, because the mean of its divisors is an integer number (8939025).

Almost surely, 2^1146372480 is an apocalyptic number.

1146372480 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 1146372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288390400).

1146372480 is an abundant number, since it is smaller than the sum of its proper divisors (3430408320).

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

1146372480 is a wasteful number, since it uses less digits than its factorization.

1146372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1146372480 is about 33858.1228067948. The cubic root of 1146372480 is about 1046.5867943612.

The spelling of 1146372480 in words is "one billion, one hundred forty-six million, three hundred seventy-two thousand, four hundred eighty".