10048400 has 30 divisors (see below), whose sum is σ = 24142242. Its totient is φ = 4019200.

The previous prime is 10048393. The next prime is 10048421. The reversal of 10048400 is 484001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 512656 + 9535744 = 716^2 + 3088^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12161 + ... + 12960.

Almost surely, 2^10048400 is an apocalyptic number.

10048400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10048400 is an abundant number, since it is smaller than the sum of its proper divisors (14093842).

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

10048400 is a wasteful number, since it uses less digits than its factorization.

10048400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25139 (or 25128 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 10048400 is about 3169.9211346657. The cubic root of 10048400 is about 215.7904918703.

It can be divided in two parts, 100 and 48400, that multiplied together give a square (4840000 = 2200²).

The spelling of 10048400 in words is "ten million, forty-eight thousand, four hundred".