1479956800 has 252 divisors, whose sum is σ = 4344558240. Its totient is φ = 494484480.

The previous prime is 1479956783. The next prime is 1479956801. The reversal of 1479956800 is 86599741.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1479956801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3370981 + ... + 3371419.

Almost surely, 2^1479956800 is an apocalyptic number.

1479956800 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 1479956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172279120).

1479956800 is an abundant number, since it is smaller than the sum of its proper divisors (2864601440).

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

1479956800 is a wasteful number, since it uses less digits than its factorization.

1479956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

The square root of 1479956800 is about 38470.2066539809. The cubic root of 1479956800 is about 1139.5927549157.

The spelling of 1479956800 in words is "one billion, four hundred seventy-nine million, nine hundred fifty-six thousand, eight hundred".