49764000 has 384 divisors, whose sum is σ = 198132480. Its totient is φ = 10752000.

The previous prime is 49763993. The next prime is 49764031. The reversal of 49764000 is 46794.

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

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, 1715986 + ... + 1716014.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 2^49764000 is an apocalyptic number.

49764000 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 49764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

49764000 is an abundant number, since it is smaller than the sum of its proper divisors (148368480).

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

49764000 is a wasteful number, since it uses less digits than its factorization.

49764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 49764000 is about 7054.3603537103. The cubic root of 49764000 is about 367.8226145724.

The spelling of 49764000 in words is "forty-nine million, seven hundred sixty-four thousand".