40420800 has 252 divisors, whose sum is σ = 164598096. Its totient is φ = 9216000.

The previous prime is 40420777. The next prime is 40420813. The reversal of 40420800 is 802404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100600 + ... + 101000.

Almost surely, 2^40420800 is an apocalyptic number.

40420800 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 40420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82299048).

40420800 is an abundant number, since it is smaller than the sum of its proper divisors (124177296).

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

40420800 is a wasteful number, since it uses less digits than its factorization.

40420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 40420800 is about 6357.7354458958. The cubic root of 40420800 is about 343.1902714572.

The spelling of 40420800 in words is "forty million, four hundred twenty thousand, eight hundred".