46777104 has 60 divisors (see below), whose sum is σ = 142816752. Its totient is φ = 14174400.

The previous prime is 46777103. The next prime is 46777123. The reversal of 46777104 is 40177764.

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

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

It is not an unprimeable number, because it can be changed into a prime (46777103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13182 + ... + 16349.

Almost surely, 2^46777104 is an apocalyptic number.

46777104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46777104 is an abundant number, since it is smaller than the sum of its proper divisors (96039648).

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

46777104 is a wasteful number, since it uses less digits than its factorization.

46777104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29556 (or 29547 counting only the distinct ones).

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

The square root of 46777104 is about 6839.3789191710. The cubic root of 46777104 is about 360.3112123675.

It can be divided in two parts, 4677 and 7104, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 46777104 in words is "forty-six million, seven hundred seventy-seven thousand, one hundred four".