42921600 has 192 divisors, whose sum is σ = 150258240. Its totient is φ = 10731520.

The previous prime is 42921587. The next prime is 42921601. The reversal of 42921600 is 612924.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42921601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163069 + ... + 163331.

It is an arithmetic number, because the mean of its divisors is an integer number (782595).

Almost surely, 2^42921600 is an apocalyptic number.

42921600 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 42921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75129120).

42921600 is an abundant number, since it is smaller than the sum of its proper divisors (107336640).

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

42921600 is a wasteful number, since it uses less digits than its factorization.

42921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 290 counting only the distinct ones).

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

The square root of 42921600 is about 6551.4578530278. The cubic root of 42921600 is about 350.1267568090.

The spelling of 42921600 in words is "forty-two million, nine hundred twenty-one thousand, six hundred".