42953400 has 216 divisors, whose sum is σ = 168147720. Its totient is φ = 9797760.

The previous prime is 42953399. The next prime is 42953401. The reversal of 42953400 is 435924.

It is an interprime number because it is at equal distance from previous prime (42953399) and next prime (42953401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42953401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 87957 + ... + 88443.

Almost surely, 2^42953400 is an apocalyptic number.

42953400 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 42953400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84073860).

42953400 is an abundant number, since it is smaller than the sum of its proper divisors (125194320).

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

42953400 is a wasteful number, since it uses less digits than its factorization.

42953400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42953400 is about 6553.8843444174. The cubic root of 42953400 is about 350.2132034335.

The spelling of 42953400 in words is "forty-two million, nine hundred fifty-three thousand, four hundred".