1480326400 has 216 divisors, whose sum is σ = 4233729024. Its totient is φ = 501964800.

The previous prime is 1480326319. The next prime is 1480326401. The reversal of 1480326400 is 46230841.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1480326401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7750305 + ... + 7750495.

Almost surely, 2^1480326400 is an apocalyptic number.

1480326400 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 1480326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116864512).

1480326400 is an abundant number, since it is smaller than the sum of its proper divisors (2753402624).

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

1480326400 is a wasteful number, since it uses less digits than its factorization.

1480326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 1480326400 is about 38475.0100714737. The cubic root of 1480326400 is about 1139.6876131856.

The spelling of 1480326400 in words is "one billion, four hundred eighty million, three hundred twenty-six thousand, four hundred".