40473600 has 264 divisors, whose sum is σ = 146204928. Its totient is φ = 9830400.

The previous prime is 40473599. The next prime is 40473607. The reversal of 40473600 is 637404.

It is a super-2 number, since 2×40473600² = 3276224593920000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40473607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1305585 + ... + 1305615.

Almost surely, 2^40473600 is an apocalyptic number.

40473600 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 40473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73102464).

40473600 is an abundant number, since it is smaller than the sum of its proper divisors (105731328).

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

40473600 is a wasteful number, since it uses less digits than its factorization.

40473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 40473600 is about 6361.8865126627. The cubic root of 40473600 is about 343.3396381369.

The spelling of 40473600 in words is "forty million, four hundred seventy-three thousand, six hundred".