423761400 has 144 divisors (see below), whose sum is σ = 1453701600. Its totient is φ = 110576640.

The previous prime is 423761263. The next prime is 423761419. The reversal of 423761400 is 4167324.

423761400 is a `hidden beast` number, since 42 + 3 + 7 + 614 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82096 + ... + 87104.

It is an arithmetic number, because the mean of its divisors is an integer number (10095150).

Almost surely, 2^423761400 is an apocalyptic number.

423761400 is a gapful number since it is divisible by the number (40) 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 423761400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726850800).

423761400 is an abundant number, since it is smaller than the sum of its proper divisors (1029940200).

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

423761400 is a wasteful number, since it uses less digits than its factorization.

423761400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5078 (or 5066 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 423761400 is about 20585.4657464921. The cubic root of 423761400 is about 751.1162046255.

The spelling of 423761400 in words is "four hundred twenty-three million, seven hundred sixty-one thousand, four hundred".