414707040 has 240 divisors, whose sum is σ = 1597170960. Its totient is φ = 100500480.

The previous prime is 414707023. The next prime is 414707071. The reversal of 414707040 is 40707414.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 414706995 and 414707013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 141106 + ... + 144014.

It is an arithmetic number, because the mean of its divisors is an integer number (6654879).

Almost surely, 2^414707040 is an apocalyptic number.

414707040 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 414707040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798585480).

414707040 is an abundant number, since it is smaller than the sum of its proper divisors (1182463920).

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

414707040 is a wasteful number, since it uses less digits than its factorization.

414707040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 414707040 is about 20364.3570976351. The cubic root of 414707040 is about 745.7280332667.

The spelling of 414707040 in words is "four hundred fourteen million, seven hundred seven thousand, forty".