15465494400 has 384 divisors, whose sum is σ = 53819769600. Its totient is φ = 3895541760.

The previous prime is 15465494383. The next prime is 15465494411. The reversal of 15465494400 is 449456451.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19650807 + ... + 19651593.

It is an arithmetic number, because the mean of its divisors is an integer number (140155650).

Almost surely, 2^15465494400 is an apocalyptic number.

15465494400 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 15465494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26909884800).

15465494400 is an abundant number, since it is smaller than the sum of its proper divisors (38354275200).

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

15465494400 is a wasteful number, since it uses less digits than its factorization.

15465494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 15465494400 in words is "fifteen billion, four hundred sixty-five million, four hundred ninety-four thousand, four hundred".