15480977400 has 576 divisors, whose sum is σ = 61128587520. Its totient is φ = 3438489600.

The previous prime is 15480977399. The next prime is 15480977411. The reversal of 15480977400 is 477908451.

It is a happy number.

15480977400 is a `hidden beast` number, since 15 + 480 + 97 + 74 + 0 + 0 = 666.

It is a super-3 number, since 3×15480977400³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 118175335 + ... + 118175465.

It is an arithmetic number, because the mean of its divisors is an integer number (106126020).

Almost surely, 2^15480977400 is an apocalyptic number.

15480977400 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 15480977400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30564293760).

15480977400 is an abundant number, since it is smaller than the sum of its proper divisors (45647610120).

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

15480977400 is a wasteful number, since it uses less digits than its factorization.

15480977400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 15480977400 in words is "fifteen billion, four hundred eighty million, nine hundred seventy-seven thousand, four hundred".