42692400 has 240 divisors, whose sum is σ = 156835200. Its totient is φ = 11024640.

The previous prime is 42692399. The next prime is 42692407. The reversal of 42692400 is 429624.

42692400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42692407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 637167 + ... + 637233.

It is an arithmetic number, because the mean of its divisors is an integer number (653480).

Almost surely, 2^42692400 is an apocalyptic number.

42692400 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 42692400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78417600).

42692400 is an abundant number, since it is smaller than the sum of its proper divisors (114142800).

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

42692400 is a wasteful number, since it uses less digits than its factorization.

42692400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42692400 is about 6533.9421485042. The cubic root of 42692400 is about 349.5024222050.

The spelling of 42692400 in words is "forty-two million, six hundred ninety-two thousand, four hundred".