42062400 has 252 divisors, whose sum is σ = 157228032. Its totient is φ = 10644480.

The previous prime is 42062393. The next prime is 42062411. The reversal of 42062400 is 426024.

42062400 is a `hidden beast` number, since 42 + 0 + 624 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 331137 + ... + 331263.

Almost surely, 2^42062400 is an apocalyptic number.

42062400 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 42062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78614016).

42062400 is an abundant number, since it is smaller than the sum of its proper divisors (115165632).

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

42062400 is a wasteful number, since it uses less digits than its factorization.

42062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42062400 is about 6485.5531760984. The cubic root of 42062400 is about 347.7747253871.

Adding to 42062400 its reverse (426024), we get a palindrome (42488424).

The spelling of 42062400 in words is "forty-two million, sixty-two thousand, four hundred".