42464400 has 120 divisors (see below), whose sum is σ = 148439904. Its totient is φ = 10291200.

The previous prime is 42464347. The next prime is 42464413. The reversal of 42464400 is 446424.

It is a tau number, because it is divible by the number of its divisors (120).

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, 11592 + ... + 14808.

Almost surely, 2^42464400 is an apocalyptic number.

42464400 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 42464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74219952).

42464400 is an abundant number, since it is smaller than the sum of its proper divisors (105975504).

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

42464400 is a wasteful number, since it uses less digits than its factorization.

42464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 42464400 is about 6516.4714378258. The cubic root of 42464400 is about 348.8791353846.

It can be divided in two parts, 4246 and 4400, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 42464400 in words is "forty-two million, four hundred sixty-four thousand, four hundred".