607249440 has 384 divisors, whose sum is σ = 2490808320. Its totient is φ = 135281664.

The previous prime is 607249393. The next prime is 607249441. The reversal of 607249440 is 44942706.

607249440 is a `hidden beast` number, since 60 + 72 + 494 + 40 = 666.

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 = 607249395 and 607249404.

It is not an unprimeable number, because it can be changed into a prime (607249441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1300087 + ... + 1300553.

It is an arithmetic number, because the mean of its divisors is an integer number (6486480).

Almost surely, 2^607249440 is an apocalyptic number.

607249440 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 607249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245404160).

607249440 is an abundant number, since it is smaller than the sum of its proper divisors (1883558880).

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

607249440 is a wasteful number, since it uses less digits than its factorization.

607249440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 607249440 is about 24642.4316981908. The cubic root of 607249440 is about 846.8159724566.

It can be divided in two parts, 607 and 249440, that added together give a cube (250047 = 63³).

The spelling of 607249440 in words is "six hundred seven million, two hundred forty-nine thousand, four hundred forty".