42492600 has 240 divisors, whose sum is σ = 153490920. Its totient is φ = 10886400.

The previous prime is 42492563. The next prime is 42492623. The reversal of 42492600 is 629424.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 696570 + ... + 696630.

Almost surely, 2^42492600 is an apocalyptic number.

42492600 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 42492600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76745460).

42492600 is an abundant number, since it is smaller than the sum of its proper divisors (110998320).

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

42492600 is a wasteful number, since it uses less digits than its factorization.

42492600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

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

The square root of 42492600 is about 6518.6348264035. The cubic root of 42492600 is about 348.9563468415.

The spelling of 42492600 in words is "forty-two million, four hundred ninety-two thousand, six hundred".