601962480 has 240 divisors, whose sum is σ = 2339850240. Its totient is φ = 135839232.

The previous prime is 601962479. The next prime is 601962521. The reversal of 601962480 is 84269106.

601962480 is a `hidden beast` number, since 601 + 9 + 6 + 2 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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, 417601 + ... + 419039.

It is an arithmetic number, because the mean of its divisors is an integer number (9749376).

Almost surely, 2^601962480 is an apocalyptic number.

601962480 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 601962480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169925120).

601962480 is an abundant number, since it is smaller than the sum of its proper divisors (1737887760).

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

601962480 is a wasteful number, since it uses less digits than its factorization.

601962480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 601962480 is about 24534.9236803378. The cubic root of 601962480 is about 844.3512310674.

The spelling of 601962480 in words is "six hundred one million, nine hundred sixty-two thousand, four hundred eighty".