242486400 has 384 divisors, whose sum is σ = 903067200. Its totient is φ = 56770560.

The previous prime is 242486399. The next prime is 242486437. The reversal of 242486400 is 4684242.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3619167 + ... + 3619233.

Almost surely, 2^242486400 is an apocalyptic number.

242486400 is a gapful number since it is divisible by the number (20) 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 242486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451533600).

242486400 is an abundant number, since it is smaller than the sum of its proper divisors (660580800).

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

242486400 is a wasteful number, since it uses less digits than its factorization.

242486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 242486400 is about 15571.9748265915. The cubic root of 242486400 is about 623.5851944035.

The spelling of 242486400 in words is "two hundred forty-two million, four hundred eighty-six thousand, four hundred".