611475480 has 768 divisors, whose sum is σ = 2767564800. Its totient is φ = 117573120.

The previous prime is 611475439. The next prime is 611475497. The reversal of 611475480 is 84574116.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 14220339 + ... + 14220381.

It is an arithmetic number, because the mean of its divisors is an integer number (3603600).

Almost surely, 2^611475480 is an apocalyptic number.

611475480 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 611475480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383782400).

611475480 is an abundant number, since it is smaller than the sum of its proper divisors (2156089320).

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

611475480 is a wasteful number, since it uses less digits than its factorization.

611475480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 611475480 is about 24728.0302490918. The cubic root of 611475480 is about 848.7758526254.

The spelling of 611475480 in words is "six hundred eleven million, four hundred seventy-five thousand, four hundred eighty".