1480651200 has 504 divisors, whose sum is σ = 6192491552. Its totient is φ = 328458240.

The previous prime is 1480651169. The next prime is 1480651219. The reversal of 1480651200 is 21560841.

1480651200 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 651 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×1480651200² = 4384655952122880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3729402 + ... + 3729798.

Almost surely, 2^1480651200 is an apocalyptic number.

1480651200 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 1480651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096245776).

1480651200 is an abundant number, since it is smaller than the sum of its proper divisors (4711840352).

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

1480651200 is a wasteful number, since it uses less digits than its factorization.

1480651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1480651200 is about 38479.2307615420. The cubic root of 1480651200 is about 1139.7709604498.

The spelling of 1480651200 in words is "one billion, four hundred eighty million, six hundred fifty-one thousand, two hundred".