42494400 has 252 divisors, whose sum is σ = 163369752. Its totient is φ = 10414080.

The previous prime is 42494383. The next prime is 42494429. The reversal of 42494400 is 449424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187087 + ... + 187313.

Almost surely, 2^42494400 is an apocalyptic number.

42494400 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 42494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81684876).

42494400 is an abundant number, since it is smaller than the sum of its proper divisors (120875352).

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

42494400 is a wasteful number, since it uses less digits than its factorization.

42494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42494400 is about 6518.7728906597. The cubic root of 42494400 is about 348.9612740724.

It can be divided in two parts, 4249 and 4400, that added together give a square (8649 = 93²).

The spelling of 42494400 in words is "forty-two million, four hundred ninety-four thousand, four hundred".