16048400 has 60 divisors (see below), whose sum is σ = 39335652. Its totient is φ = 6289920.

The previous prime is 16048399. The next prime is 16048423. The reversal of 16048400 is 484061.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 16384 + 16032016 = 128^2 + 4004^2 .

It is a super-2 number, since 2×16048400² = 515102285120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20822 + ... + 21578.

Almost surely, 2^16048400 is an apocalyptic number.

16048400 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 16048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19667826).

16048400 is an abundant number, since it is smaller than the sum of its proper divisors (23287252).

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

16048400 is a wasteful number, since it uses less digits than its factorization.

16048400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 16048400 is about 4006.0454315946. The cubic root of 16048400 is about 252.2380382856.

The spelling of 16048400 in words is "sixteen million, forty-eight thousand, four hundred".