629778240 has 672 divisors, whose sum is σ = 2795869440. Its totient is φ = 131383296.

The previous prime is 629778229. The next prime is 629778251. The reversal of 629778240 is 42877926.

It is an interprime number because it is at equal distance from previous prime (629778229) and next prime (629778251).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7076116 + ... + 7076204.

It is an arithmetic number, because the mean of its divisors is an integer number (4160520).

Almost surely, 2^629778240 is an apocalyptic number.

629778240 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 629778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397934720).

629778240 is an abundant number, since it is smaller than the sum of its proper divisors (2166091200).

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

629778240 is a wasteful number, since it uses less digits than its factorization.

629778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 629778240 is about 25095.3828422680. The cubic root of 629778240 is about 857.1612910321.

It can be divided in two parts, 62977 and 8240, that added together give a palindrome (71217).

The spelling of 629778240 in words is "six hundred twenty-nine million, seven hundred seventy-eight thousand, two hundred forty".