46777140 has 144 divisors (see below), whose sum is σ = 149700096. Its totient is φ = 11808000.

The previous prime is 46777123. The next prime is 46777151. The reversal of 46777140 is 4177764.

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

It is a junction number, because it is equal to n+sod(n) for n = 46777095 and 46777104.

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, 463090 + ... + 463190.

It is an arithmetic number, because the mean of its divisors is an integer number (1039584).

Almost surely, 2^46777140 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 46777140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74850048).

46777140 is an abundant number, since it is smaller than the sum of its proper divisors (102922956).

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

46777140 is a wasteful number, since it uses less digits than its factorization.

46777140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 46777140 is about 6839.3815509884. The cubic root of 46777140 is about 360.3113048002.

The spelling of 46777140 in words is "forty-six million, seven hundred seventy-seven thousand, one hundred forty".