40867200 has 384 divisors, whose sum is σ = 166953600. Its totient is φ = 9676800.

The previous prime is 40867199. The next prime is 40867219. The reversal of 40867200 is 276804.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 950379 + ... + 950421.

It is an arithmetic number, because the mean of its divisors is an integer number (434775).

Almost surely, 2^40867200 is an apocalyptic number.

40867200 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 40867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83476800).

40867200 is an abundant number, since it is smaller than the sum of its proper divisors (126086400).

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

40867200 is a wasteful number, since it uses less digits than its factorization.

40867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 40867200 is about 6392.7458888963. The cubic root of 40867200 is about 344.4490260307.

The spelling of 40867200 in words is "forty million, eight hundred sixty-seven thousand, two hundred".