49390617600 has 297 divisors, whose sum is σ = 177224549853. Its totient is φ = 13142384640.

The previous prime is 49390617593. The next prime is 49390617607. The reversal of 49390617600 is 671609394.

The square root of 49390617600 is 222240.

It is a perfect power (a square), and thus also a powerful number.

49390617600 is a `hidden beast` number, since 4 + 9 + 39 + 0 + 6 + 1 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (49390617593) and next prime (49390617607).

It can be written as a sum of positive squares in only one way, i.e., 17780622336 + 31609995264 = 133344^2 + 177792^2 .

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

It is not an unprimeable number, because it can be changed into a prime (49390617607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 106674969 + ... + 106675431.

Almost surely, 2^49390617600 is an apocalyptic number.

49390617600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49390617600 is the 222240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49390617600

49390617600 is an abundant number, since it is smaller than the sum of its proper divisors (127833932253).

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

49390617600 is an equidigital number, since it uses as much as digits as its factorization.

49390617600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 49390617600 in words is "forty-nine billion, three hundred ninety million, six hundred seventeen thousand, six hundred".