4624957440 has 600 divisors, whose sum is σ = 17984364552. Its totient is φ = 1132462080.

The previous prime is 4624957361. The next prime is 4624957459. The reversal of 4624957440 is 447594264.

It can be written as a sum of positive squares in 4 ways, for example, as 160579584 + 4464377856 = 12672^2 + 66816^2 .

It is a super-2 number, since 2×4624957440² = 42780462643622707200, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 112803820 + ... + 112803860.

Almost surely, 2^4624957440 is an apocalyptic number.

4624957440 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 4624957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8992182276).

4624957440 is an abundant number, since it is smaller than the sum of its proper divisors (13359407112).

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

4624957440 is an equidigital number, since it uses as much as digits as its factorization.

4624957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4624957440 is about 68007.0396356142. The cubic root of 4624957440 is about 1666.1058151997.

The spelling of 4624957440 in words is "four billion, six hundred twenty-four million, nine hundred fifty-seven thousand, four hundred forty".