42992400 has 120 divisors (see below), whose sum is σ = 150285024. Its totient is φ = 10419200.

The previous prime is 42992377. The next prime is 42992407. The reversal of 42992400 is 429924.

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 (30).

It is not an unprimeable number, because it can be changed into a prime (42992407) 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, 11572 + ... + 14828.

Almost surely, 2^42992400 is an apocalyptic number.

42992400 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 42992400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75142512).

42992400 is an abundant number, since it is smaller than the sum of its proper divisors (107292624).

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

42992400 is a wasteful number, since it uses less digits than its factorization.

42992400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 42992400 is about 6556.8590041269. The cubic root of 42992400 is about 350.3191646479.

Multiplying 42992400 by its reverse (429924), we get a square (18483464577600 = 4299240²).

42992400 divided by its reverse (429924) gives a square (100 = 10²).

It can be divided in two parts, 429 and 92400, that added together give a palindrome (92829).

The spelling of 42992400 in words is "forty-two million, nine hundred ninety-two thousand, four hundred".