7452930240 has 336 divisors, whose sum is σ = 29410834752. Its totient is φ = 1696923648.

The previous prime is 7452930211. The next prime is 7452930283. The reversal of 7452930240 is 420392547.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 7452930195 and 7452930204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6793372 + ... + 6794468.

Almost surely, 2^7452930240 is an apocalyptic number.

7452930240 is a gapful number since it is divisible by the number (70) 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 7452930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14705417376).

7452930240 is an abundant number, since it is smaller than the sum of its proper divisors (21957904512).

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

7452930240 is a wasteful number, since it uses less digits than its factorization.

7452930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 7452930240 is about 86330.3552639510. The cubic root of 7452930240 is about 1953.3302933657.

The spelling of 7452930240 in words is "seven billion, four hundred fifty-two million, nine hundred thirty thousand, two hundred forty".