10460400 has 120 divisors (see below), whose sum is σ = 35057280. Its totient is φ = 2661120.

The previous prime is 10460369. The next prime is 10460413. The reversal of 10460400 is 406401.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10460400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27411 + ... + 27789.

It is an arithmetic number, because the mean of its divisors is an integer number (292144).

Almost surely, 2^10460400 is an apocalyptic number.

10460400 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 10460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17528640).

10460400 is an abundant number, since it is smaller than the sum of its proper divisors (24596880).

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

10460400 is a wasteful number, since it uses less digits than its factorization.

10460400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 10460400 is about 3234.2541644095. The cubic root of 10460400 is about 218.7003261359.

Adding to 10460400 its reverse (406401), we get a palindrome (10866801).

The spelling of 10460400 in words is "ten million, four hundred sixty thousand, four hundred".