40274000 has 80 divisors (see below), whose sum is σ = 104941200. Its totient is φ = 14860800.

The previous prime is 40273993. The next prime is 40274009. The reversal of 40274000 is 47204.

It can be written as a sum of positive squares in 8 ways, for example, as 24049216 + 16224784 = 4904^2 + 4028^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 40274000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40274009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25226 + ... + 26774.

It is an arithmetic number, because the mean of its divisors is an integer number (1311765).

Almost surely, 2^40274000 is an apocalyptic number.

40274000 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 40274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52470600).

40274000 is an abundant number, since it is smaller than the sum of its proper divisors (64667200).

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

40274000 is a wasteful number, since it uses less digits than its factorization.

40274000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 40274000 is about 6346.1799533263. The cubic root of 40274000 is about 342.7743020757.

The spelling of 40274000 in words is "forty million, two hundred seventy-four thousand".