1480574400 has 168 divisors, whose sum is σ = 5069092224. Its totient is φ = 377625600.

The previous prime is 1480574399. The next prime is 1480574413. The reversal of 1480574400 is 44750841.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103695 + ... + 117105.

It is an arithmetic number, because the mean of its divisors is an integer number (30173168).

Almost surely, 2^1480574400 is an apocalyptic number.

1480574400 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 1480574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534546112).

1480574400 is an abundant number, since it is smaller than the sum of its proper divisors (3588517824).

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

1480574400 is a wasteful number, since it uses less digits than its factorization.

1480574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13459 (or 13444 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 1480574400 is about 38478.2328076537. The cubic root of 1480574400 is about 1139.7512538227.

The spelling of 1480574400 in words is "one billion, four hundred eighty million, five hundred seventy-four thousand, four hundred".