40257000 has 320 divisors, whose sum is σ = 163088640. Its totient is φ = 9072000.

The previous prime is 40256989. The next prime is 40257013. The reversal of 40257000 is 75204.

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 79 ways as a sum of consecutive naturals, for example, 566965 + ... + 567035.

It is an arithmetic number, because the mean of its divisors is an integer number (509652).

Almost surely, 2^40257000 is an apocalyptic number.

40257000 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 40257000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81544320).

40257000 is an abundant number, since it is smaller than the sum of its proper divisors (122831640).

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

40257000 is a wasteful number, since it uses less digits than its factorization.

40257000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

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

The square root of 40257000 is about 6344.8404235252. The cubic root of 40257000 is about 342.7260659661.

It can be divided in two parts, 4025 and 7000, that added together give a square (11025 = 105²).

The spelling of 40257000 in words is "forty million, two hundred fifty-seven thousand".