4961466000 has 320 divisors, whose sum is σ = 17928019200. Its totient is φ = 1311552000.

The previous prime is 4961465923. The next prime is 4961466011. The reversal of 4961466000 is 6641694.

4961466000 is a `hidden beast` number, since 4 + 9 + 6 + 1 + 46 + 600 + 0 = 666.

It is a super-2 number, since 2×4961466000² = 49232289738312000000, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 7505670 + ... + 7506330.

It is an arithmetic number, because the mean of its divisors is an integer number (56025060).

Almost surely, 2^4961466000 is an apocalyptic number.

4961466000 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 4961466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8964009600).

4961466000 is an abundant number, since it is smaller than the sum of its proper divisors (12966553200).

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

4961466000 is a wasteful number, since it uses less digits than its factorization.

4961466000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4961466000 is about 70437.6745783107. The cubic root of 4961466000 is about 1705.5717990549.

The spelling of 4961466000 in words is "four billion, nine hundred sixty-one million, four hundred sixty-six thousand".