914720040 has 448 divisors, whose sum is σ = 3525580800. Its totient is φ = 211631616.

The previous prime is 914720029. The next prime is 914720041. The reversal of 914720040 is 40027419.

It is a happy number.

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 = 914719986 and 914720013.

It is not an unprimeable number, because it can be changed into a prime (914720041) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7202457 + ... + 7202583.

It is an arithmetic number, because the mean of its divisors is an integer number (7869600).

Almost surely, 2^914720040 is an apocalyptic number.

914720040 is a gapful number since it is divisible by the number (90) 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 914720040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762790400).

914720040 is an abundant number, since it is smaller than the sum of its proper divisors (2610860760).

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

914720040 is a wasteful number, since it uses less digits than its factorization.

914720040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 914720040 is about 30244.3389744263. The cubic root of 914720040 is about 970.7246648473.

Adding to 914720040 its reverse (40027419), we get a palindrome (954747459).

The spelling of 914720040 in words is "nine hundred fourteen million, seven hundred twenty thousand, forty".