626149440 has 840 divisors, whose sum is σ = 2837977560. Its totient is φ = 130056192.

The previous prime is 626149421. The next prime is 626149451. The reversal of 626149440 is 44941626.

It can be written as a sum of positive squares in 4 ways, for example, as 134374464 + 491774976 = 11592^2 + 22176^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 626149395 and 626149404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21591346 + ... + 21591374.

Almost surely, 2^626149440 is an apocalyptic number.

626149440 is a gapful number since it is divisible by the number (60) 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 626149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418988780).

626149440 is an abundant number, since it is smaller than the sum of its proper divisors (2211828120).

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

626149440 is a wasteful number, since it uses less digits than its factorization.

626149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 626149440 is about 25022.9782400097. The cubic root of 626149440 is about 855.5117896192.

The spelling of 626149440 in words is "six hundred twenty-six million, one hundred forty-nine thousand, four hundred forty".