42464800 has 72 divisors (see below), whose sum is σ = 118492416. Its totient is φ = 14557440.

The previous prime is 42464767. The next prime is 42464813. The reversal of 42464800 is 846424.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 1809 + ... + 9391.

It is an arithmetic number, because the mean of its divisors is an integer number (1645728).

Almost surely, 2^42464800 is an apocalyptic number.

42464800 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 42464800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59246208).

42464800 is an abundant number, since it is smaller than the sum of its proper divisors (76027616).

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

42464800 is a wasteful number, since it uses less digits than its factorization.

42464800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7610 (or 7597 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 42464800 is about 6516.5021292101. The cubic root of 42464800 is about 348.8802308215.

It can be divided in two parts, 42464 and 800, that added together give a square (43264 = 208²).

The spelling of 42464800 in words is "forty-two million, four hundred sixty-four thousand, eight hundred".