1480307400 has 672 divisors, whose sum is σ = 6147731520. Its totient is φ = 326592000.

The previous prime is 1480307399. The next prime is 1480307417. The reversal of 1480307400 is 47030841.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 20849365 + ... + 20849435.

It is an arithmetic number, because the mean of its divisors is an integer number (9148410).

Almost surely, 2^1480307400 is an apocalyptic number.

1480307400 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 1480307400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073865760).

1480307400 is an abundant number, since it is smaller than the sum of its proper divisors (4667424120).

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

1480307400 is a wasteful number, since it uses less digits than its factorization.

1480307400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1480307400 is about 38474.7631571658. The cubic root of 1480307400 is about 1139.6827371985.

The spelling of 1480307400 in words is "one billion, four hundred eighty million, three hundred seven thousand, four hundred".