40249472 has 64 divisors (see below), whose sum is σ = 86751000. Its totient is φ = 18530304.

The previous prime is 40249463. The next prime is 40249483. The reversal of 40249472 is 27494204.

It can be written as a sum of positive squares in 4 ways, for example, as 40246336 + 3136 = 6344^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115154 + ... + 115502.

Almost surely, 2^40249472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40249472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43375500).

40249472 is an abundant number, since it is smaller than the sum of its proper divisors (46501528).

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

40249472 is a wasteful number, since it uses less digits than its factorization.

40249472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 40249472 is about 6344.2471578588. The cubic root of 40249472 is about 342.7047015437.

The spelling of 40249472 in words is "forty million, two hundred forty-nine thousand, four hundred seventy-two".