42662400 has 240 divisors, whose sum is σ = 155266848. Its totient is φ = 10240000.

The previous prime is 42662387. The next prime is 42662413. The reversal of 42662400 is 426624.

It is an interprime number because it is at equal distance from previous prime (42662387) and next prime (42662413).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422350 + ... + 422450.

Almost surely, 2^42662400 is an apocalyptic number.

42662400 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 42662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77633424).

42662400 is an abundant number, since it is smaller than the sum of its proper divisors (112604448).

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

42662400 is a wasteful number, since it uses less digits than its factorization.

42662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 42662400 is about 6531.6460406241. The cubic root of 42662400 is about 349.4205377667.

Multiplying 42662400 by its reverse (426624), we get a square (18200803737600 = 4266240²).

42662400 divided by its reverse (426624) gives a square (100 = 10²).

It can be divided in two parts, 4266 and 2400, that added together give a palindrome (6666).

The spelling of 42662400 in words is "forty-two million, six hundred sixty-two thousand, four hundred".