42291600 has 120 divisors (see below), whose sum is σ = 145948992. Its totient is φ = 10406400.

The previous prime is 42291583. The next prime is 42291617. The reversal of 42291600 is 619224.

It is an interprime number because it is at equal distance from previous prime (42291583) and next prime (42291617).

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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14245 + ... + 16955.

Almost surely, 2^42291600 is an apocalyptic number.

42291600 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 42291600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72974496).

42291600 is an abundant number, since it is smaller than the sum of its proper divisors (103657392).

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

42291600 is a wasteful number, since it uses less digits than its factorization.

42291600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 42291600 is about 6503.1992126952. The cubic root of 42291600 is about 348.4052617857.

The spelling of 42291600 in words is "forty-two million, two hundred ninety-one thousand, six hundred".