1461299328 has 384 divisors, whose sum is σ = 4811788800. Its totient is φ = 423198720.

The previous prime is 1461299317. The next prime is 1461299353. The reversal of 1461299328 is 8239921641.

1461299328 is a `hidden beast` number, since 1 + 4 + 612 + 9 + 9 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17605975 + ... + 17606057.

It is an arithmetic number, because the mean of its divisors is an integer number (12530700).

Almost surely, 2^1461299328 is an apocalyptic number.

1461299328 is a gapful number since it is divisible by the number (18) 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 1461299328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405894400).

1461299328 is an abundant number, since it is smaller than the sum of its proper divisors (3350489472).

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

1461299328 is a wasteful number, since it uses less digits than its factorization.

1461299328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 1461299328 is about 38226.9450518872. The cubic root of 1461299328 is about 1134.7836282738.

The spelling of 1461299328 in words is "one billion, four hundred sixty-one million, two hundred ninety-nine thousand, three hundred twenty-eight".