4751007408 has 360 divisors, whose sum is σ = 16533084672. Its totient is φ = 1246795776.

The previous prime is 4751007407. The next prime is 4751007409. The reversal of 4751007408 is 8047001574.

It is an interprime number because it is at equal distance from previous prime (4751007407) and next prime (4751007409).

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

It is not an unprimeable number, because it can be changed into a prime (4751007403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13691491 + ... + 13691837.

Almost surely, 2^4751007408 is an apocalyptic number.

4751007408 is a gapful number since it is divisible by the number (48) 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 4751007408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8266542336).

4751007408 is an abundant number, since it is smaller than the sum of its proper divisors (11782077264).

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

4751007408 is a wasteful number, since it uses less digits than its factorization.

4751007408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 4751007408 is about 68927.5518787662. The cubic root of 4751007408 is about 1681.1065329262.

The spelling of 4751007408 in words is "four billion, seven hundred fifty-one million, seven thousand, four hundred eight".