1480934400 has 264 divisors, whose sum is σ = 5342571744. Its totient is φ = 358809600.

The previous prime is 1480934383. The next prime is 1480934407. The reversal of 1480934400 is 44390841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1480934407) 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, 843924 + ... + 845676.

Almost surely, 2^1480934400 is an apocalyptic number.

1480934400 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 1480934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671285872).

1480934400 is an abundant number, since it is smaller than the sum of its proper divisors (3861637344).

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

1480934400 is a wasteful number, since it uses less digits than its factorization.

1480934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1480934400 is about 38482.9104928408. The cubic root of 1480934400 is about 1139.8436227485.

The spelling of 1480934400 in words is "one billion, four hundred eighty million, nine hundred thirty-four thousand, four hundred".