421916040 has 512 divisors, whose sum is σ = 1785369600. Its totient is φ = 87340032.

The previous prime is 421916029. The next prime is 421916059. The reversal of 421916040 is 40619124.

421916040 is a `hidden beast` number, since 42 + 19 + 1 + 604 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 421915995 and 421916013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7960654 + ... + 7960706.

It is an arithmetic number, because the mean of its divisors is an integer number (3487050).

Almost surely, 2^421916040 is an apocalyptic number.

421916040 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 421916040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892684800).

421916040 is an abundant number, since it is smaller than the sum of its proper divisors (1363453560).

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

421916040 is a wasteful number, since it uses less digits than its factorization.

421916040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 421916040 is about 20540.5949280930. The cubic root of 421916040 is about 750.0243192114.

The spelling of 421916040 in words is "four hundred twenty-one million, nine hundred sixteen thousand, forty".