42523400 has 48 divisors (see below), whose sum is σ = 99519300. Its totient is φ = 16897280.

The previous prime is 42523381. The next prime is 42523417. The reversal of 42523400 is 432524.

It can be written as a sum of positive squares in 6 ways, for example, as 37478884 + 5044516 = 6122^2 + 2246^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33986 + ... + 35214.

Almost surely, 2^42523400 is an apocalyptic number.

42523400 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 42523400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49759650).

42523400 is an abundant number, since it is smaller than the sum of its proper divisors (56995900).

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

42523400 is a wasteful number, since it uses less digits than its factorization.

42523400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 42523400 is about 6520.9968563096. The cubic root of 42523400 is about 349.0406380650.

Adding to 42523400 its reverse (432524), we get a palindrome (42955924).

The spelling of 42523400 in words is "forty-two million, five hundred twenty-three thousand, four hundred".