40488000 has 224 divisors, whose sum is σ = 153424128. Its totient is φ = 9216000.

The previous prime is 40487987. The next prime is 40488001. The reversal of 40488000 is 88404.

40488000 = T₁₈₁ + T₁₈₂ + ... + T₆₂₈.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (40488001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167880 + ... + 168120.

Almost surely, 2^40488000 is an apocalyptic number.

40488000 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 40488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76712064).

40488000 is an abundant number, since it is smaller than the sum of its proper divisors (112936128).

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

40488000 is a wasteful number, since it uses less digits than its factorization.

40488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 40488000 is about 6363.0181517893. The cubic root of 40488000 is about 343.3803519565.

The spelling of 40488000 in words is "forty million, four hundred eighty-eight thousand".