42454600 has 48 divisors (see below), whose sum is σ = 99993600. Its totient is φ = 16760640.

The previous prime is 42454591. The next prime is 42454673. The reversal of 42454600 is 645424.

It is a super-2 number, since 2×42454600² = 3604786122320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14457 + ... + 17143.

It is an arithmetic number, because the mean of its divisors is an integer number (2083200).

Almost surely, 2^42454600 is an apocalyptic number.

42454600 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 42454600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49996800).

42454600 is an abundant number, since it is smaller than the sum of its proper divisors (57539000).

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

42454600 is a wasteful number, since it uses less digits than its factorization.

42454600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 42454600 is about 6515.7194537518. The cubic root of 42454600 is about 348.8522950306.

The spelling of 42454600 in words is "forty-two million, four hundred fifty-four thousand, six hundred".