4262400 has 180 divisors, whose sum is σ = 15666222. Its totient is φ = 1105920.

The previous prime is 4262399. The next prime is 4262417. The reversal of 4262400 is 42624.

4262400 is a `hidden beast` number, since 4 + 262 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3873024 + 389376 = 1968^2 + 624^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115182 + ... + 115218.

Almost surely, 2^4262400 is an apocalyptic number.

4262400 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 4262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7833111).

4262400 is an abundant number, since it is smaller than the sum of its proper divisors (11403822).

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

4262400 is a wasteful number, since it uses less digits than its factorization.

4262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4262400 is about 2064.5580640902. The cubic root of 4262400 is about 162.1379711662.

Multiplying 4262400 by its reverse (42624), we get a square (181680537600 = 426240²).

4262400 divided by its reverse (42624) gives a square (100 = 10²).

The spelling of 4262400 in words is "four million, two hundred sixty-two thousand, four hundred".