416949744 has 40 divisors (see below), whose sum is σ = 1106236240. Its totient is φ = 135226368.

The previous prime is 416949739. The next prime is 416949749. The reversal of 416949744 is 447949614.

It is an interprime number because it is at equal distance from previous prime (416949739) and next prime (416949749).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 416949693 and 416949702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416949749) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115609 + ... + 119160.

It is an arithmetic number, because the mean of its divisors is an integer number (27655906).

Almost surely, 2^416949744 is an apocalyptic number.

It is an amenable number.

416949744 is an abundant number, since it is smaller than the sum of its proper divisors (689286496).

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

416949744 is a wasteful number, since it uses less digits than its factorization.

416949744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234817 (or 234811 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 416949744 is about 20419.3472961307. The cubic root of 416949744 is about 747.0698973499.

The spelling of 416949744 in words is "four hundred sixteen million, nine hundred forty-nine thousand, seven hundred forty-four".