923750400 has 312 divisors, whose sum is σ = 3185185024. Its totient is φ = 235929600.

The previous prime is 923750393. The next prime is 923750407. The reversal of 923750400 is 4057329.

It is an interprime number because it is at equal distance from previous prime (923750393) and next prime (923750407).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (923750407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9523152 + ... + 9523248.

Almost surely, 2^923750400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 923750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592592512).

923750400 is an abundant number, since it is smaller than the sum of its proper divisors (2261434624).

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

923750400 is a wasteful number, since it uses less digits than its factorization.

923750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 923750400 is about 30393.2624112648. The cubic root of 923750400 is about 973.9086276049.

The spelling of 923750400 in words is "nine hundred twenty-three million, seven hundred fifty thousand, four hundred".