42488400 has 60 divisors (see below), whose sum is σ = 136108352. Its totient is φ = 11329920.

The previous prime is 42488399. The next prime is 42488401. The reversal of 42488400 is 488424.

It is an interprime number because it is at equal distance from previous prime (42488399) and next prime (42488401).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42488401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16504 + ... + 18903.

Almost surely, 2^42488400 is an apocalyptic number.

42488400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42488400 is an abundant number, since it is smaller than the sum of its proper divisors (93619952).

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

42488400 is a wasteful number, since it uses less digits than its factorization.

42488400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35428 (or 35417 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 42488400 is about 6518.3126650998. The cubic root of 42488400 is about 348.9448494282.

The spelling of 42488400 in words is "forty-two million, four hundred eighty-eight thousand, four hundred".