4257000 has 192 divisors, whose sum is σ = 16061760. Its totient is φ = 1008000.

The previous prime is 4256981. The next prime is 4257017. The reversal of 4257000 is 7524.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 98979 + ... + 99021.

It is an arithmetic number, because the mean of its divisors is an integer number (83655).

Almost surely, 2^4257000 is an apocalyptic number.

4257000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4257000 is the 1032-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4257000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8030880).

4257000 is an abundant number, since it is smaller than the sum of its proper divisors (11804760).

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

4257000 is a wasteful number, since it uses less digits than its factorization.

4257000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 4257000 is about 2063.2498636859. The cubic root of 4257000 is about 162.0694718039.

The spelling of 4257000 in words is "four million, two hundred fifty-seven thousand".