941606400 has 480 divisors, whose sum is σ = 3702048768. Its totient is φ = 206438400.

The previous prime is 941606371. The next prime is 941606411. The reversal of 941606400 is 4606149.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×941606400² = 1773245225041920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

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, 8332744 + ... + 8332856.

Almost surely, 2^941606400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 941606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851024384).

941606400 is an abundant number, since it is smaller than the sum of its proper divisors (2760442368).

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

941606400 is a wasteful number, since it uses less digits than its factorization.

941606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 941606400 is about 30685.6057460171. The cubic root of 941606400 is about 980.1438078564.

The spelling of 941606400 in words is "nine hundred forty-one million, six hundred six thousand, four hundred".