4960932480 has 896 divisors, whose sum is σ = 21405312000. Its totient is φ = 1097349120.

The previous prime is 4960932463. The next prime is 4960932497. The reversal of 4960932480 is 842390694.

4960932480 = 162³ + 163³ + ... + 378³.

4960932480 is a `hidden beast` number, since 4 + 9 + 609 + 32 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4960932463) and next prime (4960932497).

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×4960932480² = 49221702142237900800, 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 111 ways as a sum of consecutive naturals, for example, 160030065 + ... + 160030095.

Almost surely, 2^4960932480 is an apocalyptic number.

4960932480 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 4960932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10702656000).

4960932480 is an abundant number, since it is smaller than the sum of its proper divisors (16444379520).

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

4960932480 is an frugal number, since it uses more digits than its factorization.

4960932480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4960932480 is about 70433.8872986576. The cubic root of 4960932480 is about 1705.5106619310.

The spelling of 4960932480 in words is "four billion, nine hundred sixty million, nine hundred thirty-two thousand, four hundred eighty".