407760640 has 144 divisors (see below), whose sum is σ = 1182347712. Its totient is φ = 131530752.

The previous prime is 407760599. The next prime is 407760649. The reversal of 407760640 is 46067704.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 407760596 and 407760605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407760649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150982 + ... + 153658.

It is an arithmetic number, because the mean of its divisors is an integer number (8210748).

Almost surely, 2^407760640 is an apocalyptic number.

407760640 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 407760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591173856).

407760640 is an abundant number, since it is smaller than the sum of its proper divisors (774587072).

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

407760640 is a wasteful number, since it uses less digits than its factorization.

407760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 407760640 is about 20193.0839645657. The cubic root of 407760640 is about 741.5408846717.

The spelling of 407760640 in words is "four hundred seven million, seven hundred sixty thousand, six hundred forty".