42491400 has 192 divisors, whose sum is σ = 153799680. Its totient is φ = 9504000.

The previous prime is 42491399. The next prime is 42491401. The reversal of 42491400 is 419424.

It is an interprime number because it is at equal distance from previous prime (42491399) and next prime (42491401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42491401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281325 + ... + 281475.

It is an arithmetic number, because the mean of its divisors is an integer number (801040).

Almost surely, 2^42491400 is an apocalyptic number.

42491400 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 42491400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76899840).

42491400 is an abundant number, since it is smaller than the sum of its proper divisors (111308280).

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

42491400 is a wasteful number, since it uses less digits than its factorization.

42491400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 42491400 is about 6518.5427819414. The cubic root of 42491400 is about 348.9530619436.

The spelling of 42491400 in words is "forty-two million, four hundred ninety-one thousand, four hundred".