42454368 has 120 divisors (see below), whose sum is σ = 136299240. Its totient is φ = 12856320.

The previous prime is 42454367. The next prime is 42454369. The reversal of 42454368 is 86345424.

It is an interprime number because it is at equal distance from previous prime (42454367) and next prime (42454369).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42454367) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27768 + ... + 29256.

It is an arithmetic number, because the mean of its divisors is an integer number (1135827).

Almost surely, 2^42454368 is an apocalyptic number.

42454368 is a gapful number since it is divisible by the number (48) 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 42454368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68149620).

42454368 is an abundant number, since it is smaller than the sum of its proper divisors (93844872).

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

42454368 is a wasteful number, since it uses less digits than its factorization.

42454368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1505 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 42454368 is about 6515.7016506283. The cubic root of 42454368 is about 348.8516595763.

The spelling of 42454368 in words is "forty-two million, four hundred fifty-four thousand, three hundred sixty-eight".