1480752000 has 768 divisors, whose sum is σ = 6602843520. Its totient is φ = 309657600.

The previous prime is 1480751963. The next prime is 1480752041. The reversal of 1480752000 is 2570841.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13103944 + ... + 13104056.

Almost surely, 2^1480752000 is an apocalyptic number.

1480752000 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 1480752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301421760).

1480752000 is an abundant number, since it is smaller than the sum of its proper divisors (5122091520).

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

1480752000 is a wasteful number, since it uses less digits than its factorization.

1480752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1480752000 is about 38480.5405367440. The cubic root of 1480752000 is about 1139.7968243638.

The spelling of 1480752000 in words is "one billion, four hundred eighty million, seven hundred fifty-two thousand".