46929731400 has 480 divisors, whose sum is σ = 169821273600. Its totient is φ = 11996812800.

The previous prime is 46929731389. The next prime is 46929731411. The reversal of 46929731400 is 413792964.

It is a happy number.

46929731400 is a `hidden beast` number, since 46 + 9 + 297 + 314 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46929731389) and next prime (46929731411).

It is a super-2 number, since 2×46929731400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 89731539 + ... + 89732061.

It is an arithmetic number, because the mean of its divisors is an integer number (353794320).

Almost surely, 2^46929731400 is an apocalyptic number.

46929731400 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 46929731400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84910636800).

46929731400 is an abundant number, since it is smaller than the sum of its proper divisors (122891542200).

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

46929731400 is a wasteful number, since it uses less digits than its factorization.

46929731400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 46929731400 in words is "forty-six billion, nine hundred twenty-nine million, seven hundred thirty-one thousand, four hundred".