10400700 has 72 divisors (see below), whose sum is σ = 30938992. Its totient is φ = 2695680.

The previous prime is 10400699. The next prime is 10400701. The reversal of 10400700 is 700401.

It is an interprime number because it is at equal distance from previous prime (10400699) and next prime (10400701).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10632 + ... + 11568.

Almost surely, 2^10400700 is an apocalyptic number.

10400700 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 10400700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15469496).

10400700 is an abundant number, since it is smaller than the sum of its proper divisors (20538292).

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

10400700 is a wasteful number, since it uses less digits than its factorization.

10400700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 10400700 is about 3225.0116278860. The cubic root of 10400700 is about 218.2834737781.

The spelling of 10400700 in words is "ten million, four hundred thousand, seven hundred".